D. Arapura

发表

The common invariant subspace problem: an approach via Gröbner bases

Chris Peterson, Donu Arapura, C. Peterson, 2004 .

Mixed Hodge structures associated to geometric variations

D. Arapura, 2006, math/0611837.

Algebraic cycles on genus-2 modular fourfolds

D. Arapura, 2018, Algebra & Number Theory.

A new class of surfaces with maximal Picard number

D. Arapura, P. Solapurkar, 2014, 1406.2143.

Partial Regularity and Amplitude

D. Arapura, 2004, math/0401364.

Varieties with very little transcendental cohomology

D. Arapura, 2007, 0706.2506.

Motivation for Hodge cycles

D. Arapura, 2005, math/0501348.

Hodge cycles on some moduli spaces

D. Arapura, 2001, math/0102070.

A class of sheaves satisfying Kodaira's vanishing theorem

D. Arapura, 1999, math/9903137.

Geometry of cohomology support loci II: integrability of Hitchin's map

D. Arapura, 1997, alg-geom/9701014.

Hodge cycles and the Leray filtration

D. Arapura, 2021, Pacific Journal of Mathematics.

Vanishing theorems for parabolic Higgs bundles

D. Arapura, F. Hao, Hongshan Li, 2018, Mathematical Research Letters.

Kodaira–Saito vanishing via Higgs bundles in positive characteristic

D. Arapura, 2016, Journal für die reine und angewandte Mathematik (Crelles Journal).

A G ] 8 D ec 2 01 4 ON THE FUNDAMENTAL GROUPS OF NORMAL VARIETIES

R. Hain, A. Dimca, D. Arapura, 2018 .

On the fundamental groups of normal varieties

R. Hain, A. Dimca, D. Arapura, 2014, 1412.1483.

Building Mixed Hodge Structures

D. Arapura, 1999, math/9908036.

On the fundamental group of a compact Kähler manifold

M. Ramachandran, D. Arapura, P. Bressler, 1992 .

Weights on cohomology, invariants of singularities, and dual complexes

D. Arapura, J. Włodarczyk, Parsa Bakhtary, 2013, Mathematische Annalen.

A Kawamata–Viehweg type formulation of the logarithmic Akizuki–Nakano vanishing theorem

K. Matsuki, D. Arapura, D. Patel, 2018, Mathematische Zeitschrift.

A note on Kollár’s theorem

D. Arapura, 1986 .

K\"ahler Solvmanifolds

D. Arapura, 2003, math/0306368.

Abstract Algebra done Concretely

D. Arapura, 2004 .

The Leray spectral sequence is motivic

D. Arapura, 2003, math/0301140.

Hodge Theory of Cyclic Covers Branched over a Union of Hyperplanes

D. Arapura, 2012, Canadian Journal of Mathematics.

An Abelian Category of Motivic Sheaves

D. Arapura, 2008, 0801.0261.

A Category of Motivic Sheaves

D. Arapura, 2008 .

The motive of the moduli stack of G-bundles over the universal curve

D. Arapura, A. Dhillon, 2006, math/0609505.

Kodaira dimension of symmetric powers

D. Arapura, Sviatoslav Archava, 2000, math/0006107.

VANISHING CYCLES

D. Arapura, 2013 .

Solvable Fundamental Groups of Algebraic Varieties and Käler Manifolds

D. Arapura, M. Nori, 1997, Compositio Mathematica.

Mixed Hodge structures associated to geometric variations

D. Arapura, 2006, math/0611837.

Higgs line bundles, Green-Lazarsfeld sets,and maps of K\

D. Arapura, 1992, math/9204225.

Functoriality of the Coniveau Filtration

D. Arapura, Sungmo Kang, 2005, Canadian Mathematical Bulletin.

Geometry of cohomology support loci for local systems I

D. Arapura, 1996, alg-geom/9612006.

Fundamental Groups of Smooth Projective Varieties

D. Arapura, 1995 .

Intermediate Jacobians and Hodge structures of moduli spaces

D. Arapura, P. Sastry, 1999, math/9908037.

A Lefschetz (1,1) theorem for singular varieties

D. Arapura, 2016, 1605.00587.

2. Cohomology support loci II. Exponentials of Hodge Structures

D. Arapura, 1996 .

Hodge theory with local coefficients on compact varieties

D. Arapura, 1990 .

When are braid groups of manifolds K\"ahler?

D. Arapura, 2020, 2007.13857.

Toward the structure of fibered fundamental groups of projective varieties

D. Arapura, 2015, 1510.07692.

The Hodge conjecture for rationally connected fivefolds

D. Arapura, 2005, math/0502257.

THE MONODROMY-WEIGHT CONJECTURE

D. Arapura, 2014 .

Weights on cohomology, invariants of singularities, and dual complexes

D. Arapura, J. Włodarczyk, Parsa Bakhtary, 2011, 1102.4370.

The combinatorial part of the cohomology of a singular variety

D. Arapura, J. Włodarczyk, Parsa Bakhtary, 2009, 0902.4234.

Frobenius Amplitude, Ultraproducts, and Vanishing on Singular Spaces

D. Arapura, 2008, 0806.1033.

FROBENIUS AMPLITUDE AND VANISHING ON SINGULAR SPACES 3 Lemma

D. Arapura, 2022 .

The Hodge theoretic fundamental group and its cohomology

Donu Arapura, D. Arapura, 2009, 0902.4252.

On Kodaira vanishing for singular varieties

D. Arapura, D. Jaffe, 1989 .

Perverse sheaves on varieties with large fundamental groups

Botong Wang, Donu Arapura, D. Arapura, 2021, 2109.07887.

Motivic sheaves revisited

D. Arapura, 2019, Journal of Pure and Applied Algebra.

An Introduction to Etale Cohomology

D. Arapura, 2012 .

NOTES ON THE HODGE CONJECTURE

D. Arapura, 2008 .

Restrictions on the prime-to-$p$ fundamental group of a smooth projective variety

D. Arapura, 2014, Compositio Mathematica.

COHOMOLOGY SUPPORT LOCI FOR LOCAL SYSTEMS AND HIGGS BUNDLES

D. Arapura, 1997 .

On the Abel-Jacobi map for non-compact varieties

D. Arapura, K. Oh, 1997 .

ON D-MODULES AND CONNECTIONS WITH

D. Arapura, 2008 .

Homomorphisms between Kaehler groups

D. Arapura, 2009, 0908.0929.

Coniveau and the Grothendieck group of varieties

D. Arapura, Sungmo Kang, 2005, math/0506210.

2 6 A ug 2 00 2 HODGE CYCLES ON SOME MODULI SPACES

D. Arapura, 2002 .

Integral Gassman equivalence of algebraic and hyperbolic manifolds

D. Arapura, P. Solapurkar, D. McReynolds, 2017, Mathematische Zeitschrift.

Algebraic Geometry over the Complex Numbers

D. Arapura, 2012 .

Fano maps and fundamental groups

D. Arapura, 1991 .

The Hard Lefschetz Theorem

D. Arapura, 2012 .

FROBENIUS AMPLITUDE AND STRONG VANISHING THEOREMS FOR VECTOR BUNDLES

D. Keeler, D. Arapura, 2002, math/0202129.

Hodge theory with local coefficients and fundamental groups of varieties

D. Arapura, 1989 .

Notes on Low Dimensional Modular Varieties

D. Arapura, 2019 .

INTRODUCTION TO COMPLEX ALGEBRAIC GEOMETRY/HODGE THEORY

D. Arapura, 2014 .

Residues of connections and the Chevalley–Weil formula for curves

D. Arapura, 2022, L’Enseignement Mathématique.

Beilinson-Tate cycles on semiabelian varieties

D. Arapura, Manish Kumar, 2008, 0808.2990.

A short proof of Rohlin’s theorem for complex surfaces

D. Arapura, 1990 .

Please Scroll down for Article Communications in Algebra Kähler-de Rham Cohomology and Chern Classes

D. Arapura, Sungmo Kang, 2022 .

Partial regularity and amplitude

D. Arapura, 2006 .