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Hodge theory and complex algebraic geometry, II / Claire Voisin ; Leila Schneps

Auteur principal : Voisin, Claire, 1962-, AuteurAuteur secondaire : Schneps, Leila, 1969-, TraducteurType de document : MonographieCollection : Cambridge studies in advanced mathematics, 77Langue : anglais.Pays : Grande Bretagne.Éditeur : Cambridge : Cambridge University Press, 2003Description : 1 vol. (IX-351 p.) : fig. ; 24 cmISBN : 0521802830.ISSN : 0950-6330.Bibliographie : Bibliogr. p. 343-347. Index.Sujet MSC : 14C30, Algebraic geometry - Cycles and subschemes, Transcendental methods, Hodge theory, Hodge conjecture
14C25, Algebraic geometry - Cycles and subschemes, Algebraic cycles
32J25, Several complex variables and analytic spaces - Compact analytic spaces, Transcendental methods of algebraic geometry
32G20, Several complex variables and analytic spaces - Deformations of analytic structures, Period matrices, variation of Hodge structure; degenerations
En-ligne : Zentralblatt | MathSciNet
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14 VOI (Browse shelf) Available 02279-01

This book is the second volume of a comprehensive introduction to the methods of modern transcendental algebraic geometry. turns to the description of much finer interactions between the topology of algebraic varieties, their algebraic cycles and their Hodge theory. Two central themes which dominate this second volume are the various Lefschetz theorems and Leray spectral sequences, together with their powerful applications to the study of complex projective varieties. (Zentralblatt)

Bibliogr. p. 343-347. Index

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