A survey of the Hodge conjecture

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A survey of the Hodge conjecture / James D. Lewis

版:: 2nd ed
資料種別:: 図書
出版情報:: Providence, R.I. : American Mathematical Society, c1999
形態:: xvi, 368 p. ; 26 cm
シリーズ名:: CRM monograph series ; v. 10 <BA19947059>
著者名:: Lewis, James D. <DA06223460>
ISBN:: 9780821805688 [0821805681]
書誌ID:: BA41103631

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注記:

Includes bibliographical references and indexes
with an appendix by B. Brent Gordon
1st edition by Les Publications CMR c1991

主題:

Hodge theory

言語:

英語

目次情報:

Complex manifolds Vector bundles Kahler manifolds Line bundles

The Lefschetz (1,1) theorem

The Lefschetz (1,1) theorem revisited

Formulation of the general Hodge conjecture

Chern class theory Cohomology of complete intersections

The Hodge theorem Analytic and topological necessities of the Kahler condition Intermediate

Jacobians Various approaches to the Hodge conjecture for varieties with well understood geometric structure

The approach to the Hodge conjecture via normal functions

Hodge theory and Chow groups Results and formulations in the singular case

A survey of the Hodge conjecture for abelian varieties Index

Index of notation

Complex manifolds Vector bundles Kahler manifolds Line bundles

The Lefschetz (1,1) theorem

The Lefschetz (1,1) theorem revisited

Formulation of the general Hodge conjecture

Chern class theory Cohomology of complete intersections

The Hodge theorem Analytic and topological necessities of the Kahler condition Intermediate

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