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Mixed Hodge Structures and Singularities
Language: en
Pages: 210
Authors: Valentine S. Kulikov
Categories: Mathematics
Type: BOOK - Published: 1998-04-27 - Publisher: Cambridge University Press

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This vital work is both an introduction to, and a survey of singularity theory, in particular, studying singularities by means of differential forms. Here, some
Mixed Hodge Structures
Language: en
Pages: 467
Authors: Chris A.M. Peters
Categories: Mathematics
Type: BOOK - Published: 2008-02-27 - Publisher: Springer Science & Business Media

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This is comprehensive basic monograph on mixed Hodge structures. Building up from basic Hodge theory the book explains Delingne's mixed Hodge theory in a detail
Intersection Homology & Perverse Sheaves
Language: en
Pages: 278
Authors: Laurenţiu G. Maxim
Categories: Mathematics
Type: BOOK - Published: 2019-11-30 - Publisher: Springer Nature

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This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples and geometric applications motivate concepts
Period Mappings and Period Domains
Language: en
Pages: 577
Authors: James Carlson
Categories: Mathematics
Type: BOOK - Published: 2017-08-24 - Publisher: Cambridge University Press

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An introduction to Griffiths' theory of period maps and domains, focused on algebraic, group-theoretic and differential geometric aspects.
Recent Advances in Hodge Theory
Language: en
Pages: 533
Authors: Matt Kerr
Categories: Mathematics
Type: BOOK - Published: 2016-02-04 - Publisher: Cambridge University Press

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Combines cutting-edge research and expository articles in Hodge theory. An essential reference for graduate students and researchers.