S. Gusein-Zade

发表

Singularities of Differentiable Maps, Volume 1

V. Arnold, S. Gusein-Zade, A. Varchenko, 2012 .

On the enumeration of curves from infinity to infinity

S. Gusein-Zade, 1994 .

COMMUNICATIONS OF THE MOSCOW MATHEMATICAL SOCIETY: On the number of topological types of plane curves

S. Gusein-Zade, Fedor Duzhin, 1998 .

COMMENTS ON “A NOTE ON THE LOCATION OF MEDICAL FACILITIES” BY Z. DREZNER

S. Gusein-Zade, 1992 .

On the pre‐λ‐ring structure on the Grothendieck ring of stacks and the power structures over it

S. Gusein-Zade, I. Luengo, A. Melle-Hernández, 2013 .

On the pre-lambda ring structure on the Grothendieck ring of stacks and the power structures over it

S. Gusein-Zade, A. Hernández, I. Luengo, 2010, 1008.5063.

Integration with respect to the Euler characteristic and its applications

S. Gusein-Zade, 2010 .

Zeta functions for germs of meromorphic functions, and Newton diagrams

S. Gusein-Zade, I. Luengo, A. Melle-Hernández, 1997, math/9705227.

Monodromy and asymptotics of integrals

V. I. Arnolʹd, S. Gusein-Zade, A. Varchenko, 1988 .

A general rule for ranged series of codon frequencies in different genomes.

Borodovsky MYu, S. Gusein-Zade, S M Gusein-Zade, 1989, Journal of biomolecular structure & dynamics.

The classification of critical points, caustics and wave fronts

Alexander Varchenko, V. I. Arnolʹd, S. Gusein-Zade, 1985 .

Singularities of Differentiable Maps, Volume 2: Monodromy and Asymptotics of Integrals

Vladimir I. Arnold, Sabir M. Gusein-Zade, Alexander Varchenko, 2012 .

On the action of a circle on manifolds

S. Gusein-Zade, 1971 .

U-ACTIONS OF A CIRCLE AND FIXED POINTS

S. Gusein-Zade, 1971 .

On indices of 1-forms on determinantal singularities

W. Ebeling, S. Gusein-Zade, 2008, 0806.0219.

Radial Index and Euler Obstruction of a 1-Form on a Singular Variety

W. Ebeling, S. Gusein-Zade, 2004 .

Monodromy of dual invertible polynomials

W. Ebeling, S. Gusein-Zade, 2010, 1008.4021.

Power structure over the Grothendieck ring of varieties and generating series of Hilbert schemes of points

S. Gusein-Zade, I. Luengo, A. Melle-Hernández, 2004, math/0407204.

A power structure over the Grothendieck ring of varieties

S. Gusein-Zade, A. Hernández, I. Luengo, 2004 .

The Alexander polynomial of a plane curve singularity via the ring of functions on it

S. Gusein-Zade, A. Campillo, F. Delgado, 2002 .

Generating Series of the Classes of Exotic Unordered Configuration Spaces

S. Gusein-Zade, 2023, Siberian Mathematical Journal.

Generating series of classes of exotic un-ordered configuration spaces

S. Gusein-Zade, 2022, 2203.10798.

Grothendieck Ring of Varieties with Actions of Finite Groups

S. Gusein-Zade, I. Luengo, A. Melle-Hernández, 2019, Proceedings of the Edinburgh Mathematical Society.

The Universal Euler Characteristic of V-Manifolds

S. Gusein-Zade, I. Luengo, A. Melle-Hernández, 2018, Functional Analysis and Its Applications.

Integration over the Space of Functions and Poincaré Series Revisited

S. Gusein-Zade, A. Campillo, F. Delgado, 2018, Proceedings of the Steklov Institute of Mathematics.

Integration over the Space of Functions and Poincaré Series Revisited

S. Gusein-Zade, A. Campillo, F. Delgado, 2018, Proceedings of the Steklov Institute of Mathematics.

The Universal Euler Characteristic of V-Manifolds

S. Gusein-Zade, I. Luengo, A. Melle-Hernández, 2018, Functional Analysis and Its Applications.

Power structure over the Grothendieck ring of maps

S. Gusein-Zade, I. Luengo, A. Melle-Hernández, 2018, Revista Matemática Complutense.

Grothendieck ring of varieties with finite groups actions

S. Gusein-Zade, I. Luengo, A. Melle-Hernández, 2017 .

Equivariant analogues of the Euler characteristic and Macdonald type equations

S. Gusein-Zade, 2017 .

Integration over the space of functions and Poincaré series: a revision

S. Gusein-Zade, A. Campillo, F. Delgado, 2017 .

Power structure over the Grothendieck ring of maps

S. Gusein-Zade, I. Luengo, A. Melle-Hernández, 2016, 1609.08452.

Higher order spectra, equivariant Hodge-Deligne polynomials and Macdonald type equations

W. Ebeling, S. Gusein-Zade, 2015, 1507.08088.

On equivariant versions of higher order orbifold Euler characteristics

S. Gusein-Zade, I. Luengo, A. Melle-Hern'andez, 2015, 1504.07467.

Higher order generalized Euler characteristics and generating series

S. Gusein-Zade, I. Luengo, A. Melle-Hern'andez, 2013, 1303.5574.

Equivariant Poincar\'e series and monodromy zeta functions of quasihomogeneous polynomials

W. Ebeling, S. Gusein-Zade, 2011, 1106.1284.

On Piecewise Isomorphism of Some Varieties (pp. 91-96)

S. Gusein-Zade, A. Hernández, I. Luengo, 2011 .

On piecewise isomorphism of some varieties

S. Gusein-Zade, I. Luengo, A. Melle-Hernández, 2011, 1103.1562.

On generating series of classes of equivariant Hilbert schemes of fat points

S. Gusein-Zade, A. Hernández, I. Luengo, 2009, 0905.1779.

An equivariant version of the monodromy zeta function

Alejandro Melle Hernández, S. Gusein-Zade, I. L. Velasco, 2008, 0803.3708.

Generating series of classes of Hilbert schemes of points on orbifolds

S. Gusein-Zade, I. Luengo, A. Melle-Hernández, 2008, 0803.3687.

Multi-index Filtrations and Generalized Poincaré Series

S. Gusein-Zade, A. Campillo, F. Delgado, 2007 .

On the power structure over the Grothendieck ring of varieties and its applications

S. Gusein-Zade, I. Luengo, A. Melle-Hernández, 2006, math/0605467.

Integration over spaces of nonparametrized arcs and motivic versions of the monodromy zeta function

S. Gusein-Zade, I. Luengo, A. Melle-Hernández, 2004, math/0407201.

Multi-index filtrations and motivic Poincare series

S. Gusein-Zade, A. Campillo, F. Delgado, 2004, math/0406240.

A G ] 1 1 Ju n 20 04 Multi-index filtrations and motivic Poincaré series . ∗

S. Gusein-Zade, A. Campillo, F. Delgado, 2004 .

G T ] 2 6 A pr 2 01 8 The universal Euler characteristic of V-manifolds ∗

S. Gusein-Zade, I. Luengo, A. Melle-Hernández, 2022 .

On an Equivariant Version of the Zeta Function of a Transformation

S. Gusein-Zade, I. Luengo, A. Melle-Hernández, 2012, 1203.3344.

Partial resolutions and the zeta-function of a singularity

S. Gusein-Zade, I. Luengo, A. Melle-Hernández, 1997 .

Universal Abelian covers of rational surface singularities and multi-index filtrations

S. Gusein-Zade, A. Campillo, F. Delgado, 2007, 0706.4062.

On Poincare series of filtrations on equivariant functions of two variables

S. Gusein-Zade, A. Campillo, F. Delgado, 2006 .

Poincaré series of a rational surface singularity

S. Gusein-Zade, A. Campillo, F. Delgado, 2004 .

Are algebraic links in the Poincaré sphere determined by their Alexander polynomials?

S. Gusein-Zade, A. Campillo, F. Delgado, 2020, Mathematische Zeitschrift.

Are algebraic links in the Poincaré sphere determined by their Alexander polynomials?

S. Gusein-Zade, A. Campillo, F. Delgado, 2019, Mathematische Zeitschrift.

Algebraic links in the Poincar\'e sphere and the Alexander polynomials

S. Gusein-Zade, A. Campillo, F. Delgado, 2018, 1804.03419.

On the topological type of a set of plane valuations with symmetries

S. Gusein-Zade, A. Campillo, F. Delgado, 2016, 1604.08152.

Equivariant Poincaré series and topology of valuations

S. Gusein-Zade, A. Campillo, F. Delgado, 2015, Documenta Mathematica.

Equivariant Poincaré series of filtrations and topology

S. Gusein-Zade, A. Campillo, F. Delgado, 2012, 1202.4300.

Alexander polynomials and Poincaré series of sets of ideals

S. Gusein-Zade, A. Campillo, F. Delgado, 2011 .

Multi-variable Poincar\'e series associated with Newton diagrams

W. Ebeling, S. Gusein-Zade, 2009, 0906.0081.

Poincare series of collections of plane valuations

S. Gusein-Zade, F. Hernando, A. Campillo, 2009, 0903.3835.

The Poincaré series of divisorial valuations in the plane defines the topology of the set of divisors

S. Gusein-Zade, A. Campillo, F. Delgado, 2008, 0806.4492.

Poincare series of filtrations corresponding to ideals on surfaces

S. Gusein-Zade, A. Campillo, F. Delgado, 2008, 0803.1743.

Multi-index filtrations corresponding to curves with one place at infinity and their Poincar\'e series

S. Gusein-Zade, A. Campillo, F. Delgado, 2005 .

Poincaré series of curves on rational surface singularities

S. Gusein-Zade, A. Campillo, Félix Delgado de la Mata, 2005 .

Ju n 20 05 Multi-index filtrations corresponding to curves with one place at infinity and their Poincaré series ∗ A .

S. Gusein-Zade, F. Delgado, Campillo, 2005 .

Monodromies and poincaré series of quasihomogeneous complete intersections

W. Ebeling, S. Gusein-Zade, 2004 .

POINCARÉ SERIES FOR SEVERAL PLANE DIVISORIAL VALUATIONS

S. Gusein-Zade, F. Delgado, 2003, Proceedings of the Edinburgh Mathematical Society.

Integrals with respect to the Euler characteristic over spaces of functions and the Alexander polynomial

S. Gusein-Zade, A. Campillo, F. Delgado, 2002 .

Integration with respect to Euler characteristic over the projectivization of the space of functions and the Alexander polynomial of a plane curve singularity

S. Gusein-Zade, A. Campillo, F. Delgado, 2000 .

On the Monodromy at Infinity of a Plane Curve and the Poincaré Series of Its Coordinate Ring

S. Gusein-Zade, A. Campillo, F. Delgado, 2001 .

On Generators of the Semigroup of a Plane Curve Singularity

S. Gusein-Zade, A. Campillo, F. Delgado, 1999 .

An equivariant Poincaré series of filtrations and monodromy zeta functions

S. Gusein-Zade, A. Campillo, F. Delgado, 2014, 1405.3005.

Equivariant Poincaré series of filtrations

S. Gusein-Zade, A. Campillo, F. Delgado, 2010, 1005.5656.

THE ALEXANDER POLYNOMIAL OF A PLANE CURVE SINGULARITY AND INTEGRALS WITH RESPECT TO THE EULER CHARACTERISTIC

S. Gusein-Zade, A. Campillo, F. Delgado, 2003 .

Integration with respect to the Euler characteristic over a function space and the Alexander polynomial of a plane curve singularity

S. Gusein-Zade, A. Campillo, F. Delgado, 2000 .

Higher-order orbifold Euler characteristics for compact Lie group actions

S. Gusein-Zade, I. Luengo, A. Melle-Hern'andez, 2014, Proceedings of the Royal Society of Edinburgh: Section A Mathematics.

The Alexander polynomial of plane curve singularities and rings of functions on curves

S. Gusein-Zade, A. Campillo, F. Delgado, 1999 .

On the monodromy of a plane curve singularity and the Poincaré series of the ring of functions on the curve

S. Gusein-Zade, A. Campillo, F. Delgado, 1999 .

Mirror symmetry on levels of non-abelian Landau–Ginzburg orbifolds

W. Ebeling, S. Gusein-Zade, 2022, Journal of Geometry and Physics.

Dual Invertible Polynomials with Permutation Symmetries and the Orbifold Euler Characteristic

W. Ebeling, S. Gusein-Zade, 2019, 1907.11421.

Index of a singular point of a vector field or of a 1-form on an orbifold

S. Gusein-Zade, 2019, St. Petersburg Mathematical Journal.

A Version of the Berglund–Hübsch–Henningson Duality With Non-Abelian Groups

W. Ebeling, S. Gusein-Zade, 2019, International Mathematics Research Notices.

A version of the Berglund-H\"ubsch-Henningson duality with non-abelian groups

W. Ebeling, S. Gusein-Zade, 2018 .

Orbifold Zeta Functions for Dual Invertible Polynomials

W. Ebeling, S. Gusein-Zade, 2014, Proceedings of the Edinburgh Mathematical Society.

Equivariant indices of vector fields and 1-forms

W. Ebeling, S. Gusein-Zade, 2013, 1307.2054.

Indices of Vector Fields and 1-Forms on Singular Varieties

W. Ebeling, S. Gusein-Zade, 2006, math/0601439.

Hilbert function, generalized Poincaré series and topology of plane valuations

S. Gusein-Zade, A. Campillo, F. Delgado, 2013, Monatshefte für Mathematik.

Hilbert function, generalized Poincaré series and topology of plane valuations

S. Gusein-Zade, A. Campillo, F. Delgado, 2013, 1303.3648.

An equivariant Poincaré series of filtrations and monodromy zeta functions

S. Gusein-Zade, A. Campillo, F. Delgado, 2014, Revista Matemática Complutense.

Saito duality between Burnside rings for invertible polynomials

W. Ebeling, S. Gusein-Zade, 2011, 1105.1964.

Equivariant Poincaré series of filtrations

S. Gusein-Zade, A. Campillo, F. Delgado, 2011, Revista Matemática Complutense.

Indices of vector fields and 1-forms

Sabir M. Gusein-Zade, Wolfgang Ebeling, W. Ebeling, 2021, 2107.01967.

Deformations of polynomials and their zeta-functions

D. Siersma, S. Gusein-Zade, 2005 .

Bifurcations and topology of meromorphic germs

Alejandro Melle Hernández, S. Gusein-Zade, A. Hernandez, 2001 .

On the topology of germs of meromorphic functions

S. Gusein-Zade, I. Luengo, A. Melle-Hernández, 1999, math/9905127.

On atypical values and local monodromies of meromorphic functions

S. Gusein-Zade, I. Luengo, A. Melle-Hernández, 1998, math/9804071.

On the Zeta-function of a polynomial at infinity

S. Gusein-Zade, I. Luengo, A. Melle-Hernández, 1998, math/9801093.

LECTURES ON MONODROMY

W. Ebeling, S. Gusein-Zade, 2007 .

Singularities of Differentiable Maps, Volume 2

Vladimir I. Arnold, Sabir M. Gusein-Zade, V. Arnold, 2012 .

Verlinde algebras and the intersection form on vanishing cycles

S. Gusein-Zade, A. Varchenko, 1996, hep-th/9610058.

Enhanced equivariant Saito duality

W. Ebeling, S. Gusein-Zade, 2015, Journal of Algebra and Its Applications.

Orbifold Milnor lattice and orbifold intersection form

W. Ebeling, S. Gusein-Zade, 2017, manuscripta mathematica.

Orbifold Milnor lattice and orbifold intersection form

W. Ebeling, S. Gusein-Zade, 2016, 1607.08740.

Orbifold E-functions of dual invertible polynomials

W. Ebeling, A. Takahashi, S. Gusein-Zade, 2015, 1509.04101.

An exponential function on the set of varieties

S. Gusein-Zade, I. Luengo, A. Melle-Hernández, 2002, math/0206279.

Intersection matrices for certain singularities of functions of two variables

S. Gusein-Zade, 1974 .

On singularities from which an A1 can be split off

S. Gusein-Zade, 1993 .

On Poincare series of filtrations

S. Gusein-Zade, A. Campillo, F. Delgado, 2015 .

On Poincar\'e series of filtrations

S. Gusein-Zade, A. Campillo, F. Delgado, 2015, 1504.04849.

A G ] 1 9 A pr 2 01 5 On Poincaré series of filtrations ∗

S. Gusein-Zade, A. Campillo, F. Delgado, 2015 .

Comparison of Equations Describing the Ranked Frequency Distributions of Graphemes and Phonemes

Mark Borodovsky, Dean Philip McKenzie, Sabir M. Gusein-Zade, 1996, J. Quant. Linguistics.

Klein foams as families of real forms of Riemann surfaces

S. Gusein-Zade, S. Natanzon, 2015, 1504.00047.

HOMOLOGICAL INDEX FOR 1-FORMS AND A MILNOR NUMBER FOR ISOLATED SINGULARITIES

W. Ebeling, S. Gusein-Zade, J. Seade, 2003, math/0307239.

On equivariant indices of 1-forms on varieties

S. Gusein-Zade, F. Mamedova, 2017, Functional Analysis and Its Applications.

Homological indices of collections of 1‐forms

S. Gusein-Zade, E. Gorsky, E. Gorsky, 2017, 1704.08641.

On equivariant indices of 1-forms on varieties

S. Gusein-Zade, F. Mamedova, 2017, 1701.01827.

The Index of a 1-Form on a Real Quotient Singularity

W. Ebeling, S. Gusein-Zade, 2017, 1708.09219.

The Index of a 1-Form on a Real Quotient Singularity

W. Ebeling, S. Gusein-Zade, 2017, Functional Analysis and Its Applications.

Equivariant indices of vector fields and 1-forms

W. Ebeling, S. Gusein-Zade, 2015, European Journal of Mathematics.

Indices of 1-forms on an isolated complete intersection singularity

W. Ebeling, S. Gusein-Zade, 2001, math/0105242.

On the index of a vector field at an isolated singularity

W. Ebeling, S. Gusein-Zade, 1997, alg-geom/9710008.

The Arf—invariant and the Arnold invariants of plane curves

S. Gusein-Zade, S. Natanzon, 1997 .

Dynkin diagrams for singularities of functions of two variables

S. Gusein-Zade, 1974 .

Index of a singular point of a gradient vector field

S. Gusein-Zade, S. M. Husein Zade, 1984 .

Singularities of typeAk on plane curves of a chosen degree

N. N. Nekhoroshev, S. M. Gusein-Zade, S. Gusein-Zade, 2000 .

Contiguity of Ak-singularities at points of the stratum µ = const of a singularity

S. Gusein-Zade, N. Nekhoroshev, 1983 .

Characteristic polynomial of classical monodromy for singular series

S. Gusein-Zade, 1976 .

Vladimir Igorevich Arnol'd (on his sixtieth birthday)

Y. Osipov, B. Khesin, Y. Sinai, 1987 .

On an equivariant analogue of the monodromy zeta function

S. Gusein-Zade, 2013, Functional Analysis and Its Applications.

On an equivariant analogue of the monodromy zeta function

S. Gusein-Zade, 2012, 1207.2282.

On Simple ℤ2-Invariant and Corner Function Germs

S. Gusein-Zade, A. M. Rauch, 2019, Mathematical Notes.

On simple $Z_2$-invariant and corner function germs

S. Gusein-Zade, A. M. Rauch, 2019, 1907.01087.

On Simple Z 3 -Invariant Function Germs

S. Gusein-Zade, A. M. Rauch, 2021 .

Distinguished bases of simple singularities

S. Gusein-Zade, 1980 .

Coxeter-Dynkin diagrams of fat points in ℂ2 and of their stabilizations

W. Ebeling, S. Gusein-Zade, 1996 .

The Problem of Choice and the Sptimal Stopping Rule for a Sequence of Independent Trials

S. M. Gusein-Zade, S. Gusein-Zade, 1966 .

Deformations of polynomials and their zeta-functions

S.M.Gusein-Zade, D. Siersma, S. Gusein-Zade, 2005, math/0503450.

Grothendieck ring of pairs of quasi-projective varieties

S. Gusein-Zade, I. Luengo, Alejandro Melle-Hern'andez, 2023, 2308.10986.

On the orbifold Euler characteristics of dual invertible polynomials with non-abelian symmetry groups

W. Ebeling, S. Gusein-Zade, 2018, Pure and Applied Mathematics Quarterly.

A version of the Berglund-Henningson duality with non-abelian groups

W. Ebeling, S. Gusein-Zade, 2018, 1807.04097.

A G ] 1 1 Ju l 2 01 8 A version of the Berglund – Henningson duality with non-abelian groups

W. Ebeling, S. Gusein-Zade, 2018 .

Orbifold Euler characteristics for dual invertible polynomials

W. Ebeling, S. Gusein-Zade, 2011, 1107.5542.

Indices of collections of equivariant 1-forms and characteristic numbers

W. Ebeling, S. Gusein-Zade, 2014, 1406.4278.

CHERN OBSTRUCTIONS FOR COLLECTIONS OF 1-FORMS ON SINGULAR VARIETIES

W. Ebeling, S. Gusein-Zade, 2005, math/0503422.

Indices of Vector Fields or 1‐Forms and Characteristic Numbers

W. Ebeling, S. Gusein-Zade, 2003, math/0303330.

INDICES OF COLLECTIONS OF 1-FORMS

W. Ebeling, S. Gusein-Zade, 2007 .

Quasihomogeneous and semiquasihomogeneous singularities

V. Arnold, S. Gusein-Zade, A. Varchenko, 2012 .

Quadratic forms for a 1-form on an isolated complete intersection singularity

W. Ebeling, S. Gusein-Zade, 2005, math/0503336.