Hodge theory and complex algebraic geometry . 1 / / Claire Voisin ; translated by Leila Schneps [[electronic resource]]

• Autore: Voisin Claire <1962->
• Pubblicazione: Cambridge : , : Cambridge University Press, , 2002
• Descrizione fisica: 1 online resource (ix, 322 pages) : digital, PDF file(s)
• Disciplina: 516.3/5
• Soggetto topico: Hodge theory; Geometry, Algebraic
• Persona (resp. second.): SchnepsLeila
• Note generali: Title from publisher's bibliographic system (viewed on 05 Oct 2015).
• Nota di bibliografia: Includes bibliographical references and indexes.
• Nota di contenuto: 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
• Sommario/riassunto: 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 decomposition theorem. The meanings of these results are investigated in several directions. Completely self-contained, the book is ideal for students, while its content gives an account of Hodge theory and complex algebraic geometry as has been developed by P. Griffiths and his school, by P. Deligne, and by S. Bloch. The text is complemented by exercises which provide useful results in complex algebraic geometry.
• Titolo autorizzato: Hodge theory and complex algebraic geometry
• ISBN: 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
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910450521803321
• Lo trovi qui: Univ. Federico II
• Serie: Cambridge studies in advanced mathematics ; ; 76.