Donu Arapura

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All published works

Action	Title	Year	Authors
+ PDF Chat	Universal Chern classes on the moduli of bundles	2025	Donu Arapura
+	Perverse sheaves on varieties with large fundamental groups	2025	Donu Arapura Botong Wang
+ PDF Chat	Differential Forms and Hodge Structures on Singular Varieties	2024	Donu Arapura Scott Hiatt
+ PDF Chat	Nonnegativity of signed Euler characteristics of moduli of curves and abelian varieties	2024	Donu Arapura Deepam Patel
+ PDF Chat	A Kawamata–Viehweg type formulation of the logarithmic Akizuki–Nakano vanishing theorem	2023	Donu Arapura Kenji Matsuki Deepam Patel Jarosław Włodarczyk
+	Hodge-theoretic variants of the Hopf and Singer Conjectures	2023	Donu Arapura Laurenţiu Maxim Botong Wang
+ PDF Chat	Hodge cycles and the Leray filtration	2022	Donu Arapura
+ PDF Chat	Motivic sheaves revisited	2022	Donu Arapura
+ PDF Chat	Residues of connections and the Chevalley–Weil formula for curves	2022	Donu Arapura
+	Residues of connections and the Chevalley-Weil formula for curves	2022	Donu Arapura
+	Equivariant Hodge modules and rational singularities	2022	Donu Arapura Scott Hiatt
+ PDF Chat	Hodge cycles and the Leray filtration	2021	Donu Arapura
+	Perverse sheaves on varieties with large fundamental groups	2021	Donu Arapura Botong Wang
+	When are braid groups of manifolds K\"ahler?	2020	Donu Arapura
+	When are braid groups of manifolds Kähler?	2020	Donu Arapura
+ PDF Chat	Algebraic cycles on genus-2 modular fourfolds	2019	Donu Arapura
+ PDF Chat	Vanishing theorems for parabolic Higgs bundles	2019	Donu Arapura Hao Feng Hongshan Li
+	Motivic sheaves revisited	2019	Donu Arapura
+ PDF Chat	Integral Gassman equivalence of algebraic and hyperbolic manifolds	2018	Donu Arapura J. J. Katz D. B. McReynolds Partha Solapurkar
+	Vanishing theorems for parabolic Higgs bundles	2018	Donu Arapura Hao Feng Hongshan Li
+	Kodaira vanishing for singular varieties revisited	2018	Donu Arapura Lei Song
+	A Kawamata-Viehweg type formulation of the Logarithmic Akizuki-Nakano Vanishing Theorem	2018	Donu Arapura Kenji Matsuki Deepam Patel Jarosław Włodarczyk
+	Lefschetz decompositions for eigenforms on a Kähler manifold	2017	Donu Arapura
+ PDF Chat	Kodaira–Saito vanishing via Higgs bundles in positive characteristic	2017	Donu Arapura
+	Lefschetz decompositions for eigenforms on a K\"ahler manifold	2017	Donu Arapura
+ PDF Chat	Toward the structure of fibered fundamental groups of projective varieties	2017	Donu Arapura
+	Integral Gassman equivalence of algebraic and hyperbolic manifolds	2017	Donu Arapura J. J. Katz D. B. McReynolds Partha Solapurkar
+	Lefschetz decompositions for eigenforms on a Kähler manifold	2017	Donu Arapura
+	Kodaira-Saito vanishing via Higgs bundles in positive characteristic	2016	Donu Arapura
+	Simpson's construction of varieties with many local systems	2016	Donu Arapura
+ PDF Chat	Geometric Hodge structures with prescribed Hodge numbers	2016	Donu Arapura
+	A Lefschetz (1,1) theorem for singular varieties	2016	Donu Arapura
+	Simpson's construction of varieties with many local systems	2016	Donu Arapura
+	Kodaira-Saito vanishing via Higgs bundles in positive characteristic	2016	Donu Arapura
+	Toward the structure of fibered fundamental groups of projective varieties	2015	Donu Arapura
+ PDF Chat	On the fundamental groups of normal varieties	2015	Donu Arapura Alexandru Dimca Richard Hain
+ PDF Chat	Restrictions on the prime-to- fundamental group of a smooth projective variety	2015	Donu Arapura
+	Toward the structure of fibered fundamental groups of projective varieties	2015	Donu Arapura
+	Geometric Hodge structures with prescribed Hodge numbers	2014	Donu Arapura
+ PDF Chat	The smooth center of the cohomology of a singular variety	2014	Donu Arapura Xi Chen Su-Jeong Kang
+	A new class of surfaces with maximal Picard number	2014	Donu Arapura Partha Solapurkar
+	Geometric Hodge structures with prescribed Hodge numbers	2014	Donu Arapura
+ PDF Chat	Decomposition of Direct Images of Logarithmic Differentials	2013	Donu Arapura
+ PDF Chat	Hodge Theory of Cyclic Covers Branched over a Union of Hyperplanes	2013	Donu Arapura
+	Decomposition of direct images of logarithmic differentials	2013	Donu Arapura
+ PDF Chat	Weights on cohomology, invariants of singularities, and dual complexes	2013	Donu Arapura Parsa Bakhtary Jarosław Włodarczyk
+	Decomposition of direct images of logarithmic differentials	2013	Donu Arapura
+	The smooth center of the cohomology of a singular variety	2013	Donu Arapura Xi Chen Su-Jeong Kang
+ PDF Chat	Algebraic geometry over the complex numbers	2013	Donu Arapura
+	An abelian category of motivic sheaves	2012	Donu Arapura
+	Topology of Families	2012	Donu Arapura
+	A Little Algebraic Surface Theory	2012	Donu Arapura
+	Computation of Some Hodge Numbers	2012	Donu Arapura
+	An Introduction to Etale Cohomology	2012	Donu Arapura
+	Deformations and Hodge Theory	2012	Donu Arapura
+	Cohomology of Coherent Sheaves	2012	Donu Arapura
+	De Rham Cohomology of Manifolds	2012	Donu Arapura
+	Abelian Varieties and Moduli	2012	Donu Arapura
+	Toward Hodge Theory for Complex Manifolds	2012	Donu Arapura
+	Algebraic Geometry over the Complex Numbers	2012	Donu Arapura
+	Riemann Surfaces	2012	Donu Arapura
+	Simplicial Methods	2012	Donu Arapura
+	Sheaf Cohomology	2012	Donu Arapura
+	Kähler Manifolds	2012	Donu Arapura
+	Hodge Structures and Homological Methods	2012	Donu Arapura
+	The Hodge Theorem for Riemannian Manifolds	2012	Donu Arapura
+	Manifolds and Varieties via Sheaves	2012	Donu Arapura
+	Kähler–de Rham Cohomology and Chern Classes	2011	Donu Arapura Su-Jeong Kang
+	Weights on cohomology, invariants of singularities, and dual complexes	2011	Donu Arapura Parsa Bakhtary Jarosław Włodarczyk
+ PDF Chat	Frobenius amplitude, ultraproducts, and vanishing on singular spaces	2011	Donu Arapura
+	Homomorphisms between Kähler groups	2011	Donu Arapura
+	Weights on cohomology, invariants of singularities, and dual complexes	2011	Donu Arapura Parsa Bakhtary Jarosław Włodarczyk
+ PDF Chat	Varieties with very little transcendental cohomology	2009	Donu Arapura
+	The Hodge theoretic fundamental group and its cohomology	2009	Donu Arapura
+	Homomorphisms between Kaehler groups	2009	Donu Arapura
+ PDF Chat	Beilinson-Hodge cycles on semiabelian varieties	2009	Donu Arapura Manish Kumar
+	Beilinson-Tate cycles on semiabelian varieties	2009	Donu Arapura Manish Kumar
+	The combinatorial part of the cohomology of a singular variety	2009	Donu Arapura Parsa Bakhtary Jarosław Włodarczyk
+ PDF Chat	The motive of the moduli stack of G-bundles over the universal curve	2008	Donu Arapura Ajneet Dhillon
+	Frobenius Amplitude, Ultraproducts, and Vanishing on Singular Spaces	2008	Donu Arapura
+	Frobenius Amplitude and Vanishing on Singular Spaces	2008	Donu Arapura
+	Beilinson-Hodge cycles on semiabelian varieties	2008	Donu Arapura Manish Kumar
+	An Abelian Category of Motivic Sheaves	2008	Donu Arapura
+	NOTES ON THE HODGE CONJECTURE	2008	Donu Arapura
+	A Category of Motivic Sheaves	2008	Donu Arapura
+	Frobenius Amplitude, Ultraproducts, and Vanishing on Singular Spaces	2008	Donu Arapura
+	An Abelian Category of Motivic Sheaves	2008	Donu Arapura
+ PDF Chat	Functoriality of the Coniveau Filtration	2007	Donu Arapura Su-Jeong Kang
+	Varieties with very little transcendental cohomology	2007	Donu Arapura
+	Homology stability of moduli of vector bundles over a curve 06rit100	2007	Donu Arapura
+	Fano maps and fundamental groups	2006	Donu Arapura
+ PDF Chat	Coniveau and the Grothendieck group of varieties	2006	Donu Arapura Su-Jeong Kang
+ PDF Chat	Partial regularity and amplitude	2006	Donu Arapura
+ PDF Chat	Motivation for Hodge cycles	2006	Donu Arapura
+	Mixed Hodge structures associated to geometric variations	2006	Donu Arapura
+	The motive of the moduli stack of G-bundles over the universal curve	2006	Donu Arapura Ajneet Dhillon
+	The Hodge conjecture for rationally connected fivefolds	2005	Donu Arapura
+	Functoriality of the coniveau filtration	2005	Donu Arapura Su-Jeong Kang
+	Coniveau and the Grothendieck group of varieties	2005	Donu Arapura Su-Jeong Kang
+	Motivation for Hodge cycles	2005	Donu Arapura
+ PDF Chat	The Leray spectral sequence is motivic	2004	Donu Arapura
+	The common invariant subspace problem: an approach via Gr�bner bases	2004	Donu Arapura
+	The common invariant subspace problem: an approach via Gröbner bases	2004	Donu Arapura Chris Peterson
+	Partial Regularity and Amplitude	2004	Donu Arapura
+ PDF Chat	Frobenius amplitude and strong vanishing theorems for vector bundles	2004	Donu Arapura
+	None	2003	Donu Arapura
+	K\"ahler Solvmanifolds	2003	Donu Arapura
+	Kodaira dimension of symmetric powers	2002	Donu Arapura Sviatoslav Archava
+	Hodge cycles on some moduli spaces	2001	Donu Arapura
+ PDF Chat	A class of sheaves satisfying Kodaira's vanishing theorem	2000	Donu Arapura
+ PDF Chat	Intermediate Jacobians and Hodge structures of moduli spaces	2000	Donu Arapura Pramathanath Sastry
+ PDF Chat	Building mixed Hodge structures	2000	Donu Arapura
+	Kodaira dimension of symmetric powers	2000	Donu Arapura Sviatoslav Archava
+	Intermediate Jacobians and Hodge Structures of Moduli Spaces	1999	Donu Arapura Pramathanath Sastry
+	A class of sheaves satisfying Kodaira's vanishing theorem	1999	Donu Arapura
+ PDF Chat	None	1999	Donu Arapura Madhav V. Nori
+	Solvable fundamental groups of algebraic varieties and Kähler manifolds	1997	Donu Arapura Madhav V. Nori
+	On the Abel-Jacobi map for non-compact varieties	1997	Donu Arapura Kyungho Oh
+	Geometry of cohomology support loci II: integrability of Hitchin's map	1997	Donu Arapura
+ PDF Chat	Book Review: Shafarevich maps and automorphic forms	1996	Donu Arapura
+	Geometry of cohomology support loci for local systems I	1996	Donu Arapura
+	Intermediate Jacobians of moduli spaces	1996	Donu Arapura Pramathanath Sastry
+	Fundamental Groups of Smooth Projective Varieties	1995	Donu Arapura
+	Abel's Theorem for Twisted Jacobians	1994	Donu Arapura Kyungho Oh
+ PDF Chat	Abel’s theorem for twisted Jacobians	1994	Donu Arapura Kyungho Oh
+	On the fundamental group of a compact Kähler manifold	1992	Donu Arapura Paul Bressler Mohan Ramachandran
+ PDF Chat	Higgs line bundles, Green-Lazarsfeld sets,\\and maps of K\"ahler manifolds to curves	1992	Donu Arapura
+	Higgs line bundles, Green-Lazarsfeld sets,and maps of K\"ahler manifolds to curves	1992	Donu Arapura
+	Higgs line bundles, Green-Lazarsfeld sets,and maps of Kähler manifolds to curves	1992	Donu Arapura
+	Hodge theory with local coefficients on compact varieties	1990	Donu Arapura
+	Local cohomology of sheaves of differential forms and Hodge theory.	1990	Donu Arapura
+	A Short Proof of Rohlin's Theorem for Complex Surfaces	1990	Donu Arapura
+ PDF Chat	A short proof of Rohlin’s theorem for complex surfaces	1990	Donu Arapura
+ PDF Chat	On Kodaira vanishing for singular varieties	1989	Donu Arapura David B. Jaffe
+ PDF Chat	On Kodaira Vanishing for Singular Varieties	1989	Donu Arapura David B. Jaffe
+	Smoothable varieties with torsion free canonical sheaf	1989	Donu Arapura
+ PDF Chat	Hodge theory with local coefficients and fundamental groups of varieties	1989	Donu Arapura
+ PDF Chat	Vanishing theorems for $V$-manifolds	1988	Donu Arapura
+	Vanishing Theorems for V-Manifolds	1988	Donu Arapura
+	A note on Kollár’s theorem	1986	Donu Arapura

Common Coauthors

Coauthor	Papers Together
Su-Jeong Kang	6
Parsa Bakhtary	4
Jarosław Włodarczyk	4
Partha Solapurkar	3
Botong Wang	3
Pramathanath Sastry	3
Kyungho Oh	3
Deepam Patel	3
Manish Kumar	3
Kenji Matsuki	2
Ajneet Dhillon	2
David B. Jaffe	2
Sviatoslav Archava	2
J. J. Katz	2
Jarosław Włodarczyk	2
Scott Hiatt	2
Madhav V. Nori	2
D. B. McReynolds	2
Xi Chen	2
Hao Feng	2
Hongshan Li	2
Paul Bressler	1
Su-Jeong Kang	1
Mohan Ramachandran	1
Chris Peterson	1
Alexandru Dimca	1
Lei Song	1
Laurenţiu Maxim	1
Richard Hain	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Théorie de hodge, III	1974	Pierre Deligne	19
+	Principles of Algebraic Geometry	1978	Phillip Griffiths Joseph Harris	14
+ PDF Chat	Mixed Hodge Modules	1990	Morihiko Saito	12
+	Théorie de Hodge, II	1971	Pierre Deligne	10
+	Hodge's general conjecture is false for trivial reasons	1969	Alexandre Grothendieck	10
+	Hodge Theory with Degenerating Coefficients: L 2 Cohomology in the Poincare Metric	1979	Steven W. Zucker	9
+	A Survey of the Hodge Conjecture	2016	James D. Lewis Basil Gordon	9
+	Higher Direct Images of Dualizing Sheaves I	1986	Janós Kollár	9
+	Lectures on Vanishing Theorems	1992	Hélène Esnault Eckart Viehweg	8
+	Rel�vements modulop 2 et d�composition du complexe de de Rham	1987	Pierre Deligne Luc Illusie	8
+ PDF Chat	Higgs bundles and local systems	1992	Carlos Simpson	8
+	A generalization of Kodaira-Ramanujam's vanishing theorem	1982	Yūjirō Kawamata	8
+	The Yang-Mills equations over Riemann surfaces	1983	Michael Atiyah Raoul Bott	8
+ PDF Chat	The Leray spectral sequence is motivic	2004	Donu Arapura	8
+	Variation of hodge structure: The singularities of the period mapping	1973	Wilfried Schmid	7
+ PDF Chat	Théorème de Lefschetz et Critères de Dégénérescence de Suites Spectrales	1968	P. Deligne	7
+	Algebraic Geometry	1977	Robin Hartshorne	7
+ PDF Chat	Mixed Motives and Algebraic K-Theory	1990	Uwe Jannsen	7
+ PDF Chat	Higher obstructions to deforming cohomology groups of line bundles	1991	Mark Green Robert Lazarsfeld	6
+ PDF Chat	Modules de Hodge Polarisables	1988	Morihiko Saito	6
+	Real homotopy theory of K�hler manifolds	1975	Pierre Deligne Phillip Griffiths John Morgan Dennis Sullivan	6
+	Positivity in Algebraic Geometry I	2004	Robert Lazarsfeld	6
+	Mixed Hodge Structures	2008	J. H. M. Steenbrink Chris Peters	6
+ PDF Chat	Motivation for Hodge cycles	2006	Donu Arapura	6
+	On the Fundamental Group of a Complex Algebraic Manifold	1987	F. E. A. Johnson Elmer Rees	6
+ PDF Chat	Subspaces of moduli spaces of rank one local systems	1993	Carlos Simpson	6
+	Hodge Classes on Certain Types of Abelian Varieties	1983	Kenneth A. Ribet	5
+ PDF Chat	The algebraic topology of smooth algebraic varieties	1978	John W. Morgan	5
+	Algebraic cycles on abelian varieties of fermat type	1981	Tetsuji Shioda	5
+	Geometry of cohomology support loci for local systems I	1996	Donu Arapura	5
+	Réduction semi-stable et décomposition de complexes de de Rham à coefficients	1990	Luc Illusie	5
+	The Hodge conjecture for fourfolds admitting a covering by rational curves	1978	Alberto Conte Jacob P. Murre	5
+	Resolution of Singularities of an Algebraic Variety Over a Field of Characteristic Zero: I	1964	Heisuke Hironaka	5
+	Hodge Cycles, Motives, and Shimura Varieties	1982	Pierre Deligne J. S. Milne Arthur Ogus Kuang-yen Shih	5
+ PDF Chat	Differential Analysis on Complex Manifolds	1980	Raymond O. Wells	5
+	Logarithmic de Rham complexes and vanishing theorems	1986	H�l�ne Esnault Eckart Viehweg	5
+	Characterization of abelian varieties	1981	Yūjirō Kawamata	4
+ PDF Chat	The universal Euler characteristic for varieties of characteristic zero	2004	Franziska Bittner	4
+ PDF Chat	Smoothness, semi-stability and alterations	1996	A. J. de Jong	4
+	Shafarevich Maps and Automorphic Forms	1995	Janós Kollár	4
+	Cohomology of Groups	1982	Kenneth S. Brown	4
+ PDF Chat	A characterization of rational singularities in terms of injectivity of Frobenius maps	1998	Nobuo Hara	4
+	Algebraic cycles and the Weil conjectures	1968	Steven L. Kleiman	4
+ PDF Chat	Pour une théorie inconditionnelle des motifs	1996	Yves André	4
+	Some Theorems on Actions of Algebraic Groups	1973	A. Bialynicki-Birula	4
+	Intersection homology II	1983	Mark Goresky Robert Macpherson	4
+	Representations of Algebraic Groups	2007	Jens Carsten Jantzen	4
+	Introduction to Toric Varieties.	1993	William Fulton	4
+	Variation of mixed Hodge structure. I	1985	J. H. M. Steenbrink Steven W. Zucker	4
+	Algebraic cycles and higher K-theory	1986	Spencer Bloch	4