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Record Nr. |
UNINA9910450521803321 |
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Autore |
Voisin Claire <1962-> |
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Titolo |
Hodge theory and complex algebraic geometry . 1 / / Claire Voisin ; translated by Leila Schneps [[electronic resource]] |
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Pubbl/distr/stampa |
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Cambridge : , : Cambridge University Press, , 2002 |
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ISBN |
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1-107-13070-0 |
1-139-63684-7 |
1-280-41829-X |
9786610418299 |
1-139-14717-X |
0-511-17975-8 |
0-511-06352-0 |
0-511-05719-9 |
0-511-30908-2 |
0-511-61534-5 |
0-511-07198-1 |
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Descrizione fisica |
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1 online resource (ix, 322 pages) : digital, PDF file(s) |
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Collana |
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Cambridge studies in advanced mathematics ; ; 76 |
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Disciplina |
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Soggetti |
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Hodge theory |
Geometry, Algebraic |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
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Nota di bibliografia |
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Includes bibliographical references and indexes. |
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Nota di contenuto |
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Cover; Half-title; Series-title; Title; Copyright; Contents; 0 Introduction; Part I Preliminaries; Part II The Hodge Decomposition; Part III Variations of Hodge Structure; Part IV Cycles and Cycle Classes; Bibliography; Index |
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Sommario/riassunto |
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The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure. The book starts with basic material on complex variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory, the latter being treated in a more theoretical way than is usual in geometry. The author then proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index theorem. The book culminates with the Hodge |
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