G. Lyubeznik

发表

On the arithmetical rank of monomial ideals

G. Lyubeznik, 1988 .

On the Degrees of Freedom Achievable Through Interference Alignment in a MIMO Interference Channel

Z. Luo, Meisam Razaviyayn, G. Lyubeznik, 2011, IEEE Transactions on Signal Processing.

Algorithms in computational algebraic analysis

G. Lyubeznik, A. Leykin, 2003 .

Finiteness properties of local cohomology modules (an application ofD-modules to commutative algebra)

G. Lyubeznik, 1993 .

THE PURDUE UNIVERSITY GRADUATE SCHOOL STATEMENT OF DISSERTATION APPROVAL

A. Reibman, B. Ulrich, M. Saito, 2019 .

An upper bound on the number of F-jumping coefficients of a principal ideal

G. Lyubeznik, Wenliang Zhang, Mordechai Katzman, 2010, 1010.1890.

Cohomological invariants of coherent sheaves over projective schemes: a survey

M. Brodmann, G. Lyubeznik, 2002 .

Minimal Resultant Systems

Gennady Lyubeznik, G. Lyubeznik, 1995 .

Rings with a local cohomology theorem and applications to cohomology rings of groups

G. Lyubeznik, J. Greenlees, 2000 .

A new explicit finite free resolution of ideals generated by monomials in an R-sequence

Gennady Lyubeznik, G. Lyubeznik, 1988 .

Local cohomology modules supported at determinantal ideals

G. Lyubeznik, U. Walther, Anurag Singh, 2013, 1308.4182.

On the vanishing of local cohomology modules

G. Lyubeznik, C. Huneke, 1990 .

Finiteness properties of local cohomology modules for regular local rings of mixed characteristic: the unramified case

G. Lyubeznik, 2000 .

On the discreteness and rationality of F-jumping coefficients

G. Lyubeznik, Wenliang Zhang, Mordechai Katzman, 2007, 0706.3028.

A partial survey of local cohomology

G. Lyubeznik, 2001 .

Finiteness properties of local cohomology modules: a characteristic-free approach

G. Lyubeznik, 2000 .

Strong and weak F-regularity are equivalent for graded rings

Karen E. Smith, G. Lyubeznik, 1999 .

Local cohomology modules of a smooth \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$\mathbb{Z}$\end{document}-algebra

G. Lyubeznik, Manuel Blickle, B. Bhatt, 2013, Inventiones mathematicae.

Generators of $D$–modules in positive characteristic

G. Lyubeznik, Manuel Blickle, Josep Alvarez-Montaner, 2005, math/0502405.

Local cohomology modules of a smooth $\mathbb{Z}$-algebra have finitely many associated primes

G. Lyubeznik, Wenliang Zhang, Anurag Singh, 2013, 1304.4692.

On some local cohomology modules

G. Lyubeznik, 2006, math/0609508.

F-modules: applications to local cohomology and D-modules in characteristic p>0.

Gennady Lyubeznik, G. Lyubeznik, 1997 .

Absolute integral closure in positive characteristic

G. Lyubeznik, C. Huneke, 2006, math/0604046.

A property of the absolute integral closure of an excellent local domain in mixed characteristic

G. Lyubeznik, 2008 .

The number of generators of modules over polynomial rings

G. Lyubeznik, 1988 .

A property of ideals in polynomial rings

G. Lyubeznik, 1986 .

On the commutation of the test ideal with localization and completion

Karen E. Smith, G. Lyubeznik, 2001 .

An extension of a theorem of Hartshorne

G. Lyubeznik, Wenliang Zhang, Mordechai Katzman, 2014, 1408.0858.

On some local cohomology invariants of local rings

G. Lyubeznik, 2006, math/0602537.

On the vanishing of local cohomology in characteristic p > 0

G. Lyubeznik, 2006, Compositio Mathematica.

On the local cohomology modules for ideals generated by monomials in an R-sequence

G. Lyubeznik, 1984 .

Some algebraic sets of high local cohomological dimension in projective space

G. Lyubeznik, 1985 .

The minimal non-Cohen-Macaulay monomial ideals

G. Lyubeznik, 1988 .

On the matlis duals of local cohomology modules

G. Lyubeznik, T. Yildirim, 2017, 1707.00501.

Etale cohomological dimension and the topology of algebraic varieties

G. Lyubeznik, 1993 .

On the Degrees of Freedom Achievable Through Interference Alignment in a MIMO Interference Channel

Zhi-Quan Luo, Meisam Razaviyayn, Gennady Lyubeznik, 2011, IEEE Transactions on Signal Processing.

Stabilization of the cohomology of thickenings

G. Lyubeznik, Wenliang Zhang, Anurag Singh, 2016, American Journal of Mathematics.

A Property of the Frobenius Map of a Polynomial Ring

G. Lyubeznik, Yi Zhang, Wenliang Zhang, 2010, 1001.2949.

On Bernstein-Sato polynomials

G. Lyubeznik, 1997 .

An asymptotic vanishing theorem for the cohomology of thickenings

G. Lyubeznik, Wenliang Zhang, Anurag Singh, 2020, Mathematische Annalen.

On the degrees of freedom achievable through interference alignment in a MIMO interference channel

Meisam Razaviyayn, G. Lyubeznik, Zhi-Quan Luo, 2011, 2011 IEEE 12th International Workshop on Signal Processing Advances in Wireless Communications.

THE PURDUE UNIVERSITY GRADUATE SCHOOL STATEMENT OF DISSERTATION APPROVAL

G. Lyubeznik, Thomas Reichelt, Christine Berkesch, 2019 .