L 2 and intersection cohomologies for a polarizable variation of Hodge structure (original) (raw)

Limits of Hodge structures

Joseph Steenbrink

Inventiones Mathematicae, 1976

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An extension of Hodge theory to Kähler spaces with isolated singularities of restricted type

Seung-yoon Oh

Publications of the Research Institute for Mathematical Sciences, 1988

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On the Locus of Hodge Classes

Aroldo Kaplan

Journal of the American Mathematical Society, 1995

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Hodge Theory: the search for purity

Joseph Steenbrink

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Mixed Hodge Structures

Le Dung Trang

Princeton University Press, 2017

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Variation of mixed Hodge structure. I

Joseph Steenbrink

Inventiones Mathematicae, 1985

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Hodge genera of algebraic varieties, II

Sylvain Cappell

2006

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The cohomology of a variation of polarized Hodge structures over a quasi-compact K\"ahler manifold

Jürgen Jost

arXiv (Cornell University), 2003

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On the coniveau of certain sub-Hodge structures

Lie Fu

Mathematical Research Letters, 2012

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Ju n 20 06 HODGE GENERA OF ALGEBRAIC VARIETIES

Sylvain Cappell

2006

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Hodge spectral sequence and symmetry on compact Kähler spaces

Seung-yoon Oh

Publications of the Research Institute for Mathematical Sciences, 1987

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De Rham-Hodge theory for L2-cohomology of infinite coverings

Józef Dodziuk

Topology, 1977

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Hodge genera of algebraic varieties, I

Sylvain Cappell

2007

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Hodge Number Polynomials for Nearby and Vanishing Cohomology

Joseph Steenbrink

Algebraic Cycles and Motives, 2007

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Hodge theory on Cheeger spaces

Pierre Albin

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Answer to a question by Fujita on Variation of Hodge Structures

Fabrizio Catanese

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On the local monodromy of a variation of Hodge structure

Aroldo Kaplan

Bulletin of the American Mathematical Society, 1981

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On extensions of PVMHS and mixed Hodge modules

Mohammad Reza Rahmati

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L 2 -cohomology of normal algebraic surfaces. I

Paty Ih

Inventiones Mathematicae, 1985

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Hodge theory for intersection space cohomology

Eugenie Hunsicker

Geometry & Topology

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Hodge spectral sequence on compact Kähler spaces

Seung-yoon Oh

Publications of the Research Institute for Mathematical Sciences, 1987

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Generalized geometry and the Hodge decomposition

Marco Gualtieri

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On the Cohomology of Regular Differential Forms and Dualizing Sheaves

Xiaotao Sun

Proceedings of the American Mathematical Society

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Singularities of variations of mixed Hodge structure

Aroldo Kaplan

Asian Journal of Mathematics, 2003

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On the mixed Hodge structure associated to hypersurface singularities

Mohammad Reza Rahmati

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Polinomios de Hodge de variedades de caracteres

Javier Martínez

2016

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The first L2-Betti number of certain homogeneous spaces, including classifying spaces for variations of Hodge structures

Jürgen Jost

Mathematische Zeitschrift, 2004

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Acta Applicandae Mathematicae 75: 183–194, 2003. © 2003 Kluwer Academic Publishers. Printed in the Netherlands. 183 Monodromy of Variations of Hodge Structure

Joseph Steenbrink

2002

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Notes on ordinary differential cohomology

Abdullah Naeem Malik

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Monodromy of Variations of Hodge Structure

Joseph Steenbrink

Acta Appl Math, 2003

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Some remarks on the cohomology of an invertible sheaf

Mauro Beltrametti

Indagationes Mathematicae (Proceedings), 1979

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The monodromy weight filtration for a several variables degeneration of Hodge structures of weight two

Aroldo Kaplan

Inventiones Mathematicae, 1979

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Simpson Variations of Mixed Hodge Structure attached to the deformation theory of a Complex Variation of Hodge Structures (2009), arXiv: 0902.2626

Γ Π

2012

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Polarized mixed Hodge structures and the local monodromy of a variation of Hodge structure

Aroldo Kaplan

Inventiones Mathematicae, 1982

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A geometric description of differential cohomology

Thomas Schick

Annales mathématiques Blaise Pascal, 2010

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