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Hodge Theory and Complex Algebraic Geometry

โœ Scribed by Claire Voisin, Leila Schneps

Publisher
Cambridge University Press
Year
2002
Tongue
English
Leaves
335
Series
Cambridge Studies in Advanced Mathematics 76
Category
Library
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โœฆ Synopsis

This is a modern introduction to Kaehlerian geometry and Hodge structure. Coverage begins with variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory (with the latter being treated in a more theoretical way than is usual in geometry). The book culminates with the Hodge decomposition theorem. In between, the author proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index theorem. The second part of the book investigates the meaning of these results in several directions.

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Hodge Theory and Complex Algebraic Geome
๐Ÿ“ Hodge Theory and Complex Algebraic Geometry
โœ Claire Voisin, Leila Schneps ๐Ÿ“‚ Library ๐Ÿ“… 2003 ๐Ÿ› Cambridge University Press ๐ŸŒ English

The second volume of this modern account of Kaehlerian geometry and Hodge theory starts with the topology of families of algebraic varieties. The main results are the generalized Noether-Lefschetz theorems, the generic triviality of the Abel-Jacobi maps, and most importantly, Nori's connectivity the

Hodge Theory and Complex Algebraic Geome
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โœ Claire Voisin ๐Ÿ“‚ Library ๐Ÿ“… 2003 ๐Ÿ› Cambridge University Press ๐ŸŒ English

This is a modern introduction to Kaehlerian geometry and Hodge structure. Coverage begins with variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory (with the latter being treated in a more theoretical way than is usual in geometry). The book culminates with the Hod

Hodge Theory and Complex Algebraic Geome
๐Ÿ“ Hodge Theory and Complex Algebraic Geometry II
โœ Claire Voisin ๐Ÿ“‚ Library ๐Ÿ“… 2003 ๐Ÿ› Cambridge University Press ๐ŸŒ English

The second volume of this modern account of Kaehlerian geometry and Hodge theory starts with the topology of families of algebraic varieties. The main results are the generalized Noether-Lefschetz theorems, the generic triviality of the Abel-Jacobi maps, and most importantly, Nori's connectivity the

Hodge Theory and Complex Algebraic Geome
๐Ÿ“ Hodge Theory and Complex Algebraic Geometry I
โœ Claire Voisin ๐Ÿ“‚ Library ๐Ÿ“… 2003 ๐Ÿ› Cambridge University Press ๐ŸŒ English

This is a modern introduction to Kaehlerian geometry and Hodge structure. Coverage begins with variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory (with the latter being treated in a more theoretical way than is usual in geometry). The book culminates with the Hod