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catalog abstract "This is a modern introduction to Kaehlerian geometry and Hodge structure. It 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 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. The book is is completely self-contained and can be used by students, while its content gives an up-to-date 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.".
catalog alternative "Théorie de Hodge et géométrie algébrique complexe. English".
catalog contributor b12696929.
catalog date "2002".
catalog description "Includes bibliographical references and indexes.".
catalog description "This is a modern introduction to Kaehlerian geometry and Hodge structure. It 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 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. The book is is completely self-contained and can be used by students, while its content gives an up-to-date 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.".
catalog extent "2 volumes ;".
catalog identifier "0521802601".
catalog identifier "0521802830".
catalog identifier "9780521802604".
catalog identifier "9780521802833".
catalog isPartOf "Cambridge studies in advanced mathematics ; 76-77".
catalog isPartOf "Cambridge studies in advanced mathematics ; 76-77.".
catalog issued "2002".
catalog language "eng fre".
catalog language "eng".
catalog publisher "Cambridge ; New York : Cambridge University Press,".
catalog subject "516.3/5 21".
catalog subject "Algebraïsche meetkunde. gtt".
catalog subject "Geometry, Algebraic. fast".
catalog subject "Geometry, Algebraic.".
catalog subject "Géométrie algébrique. ram".
catalog subject "Géométrie algébrique.".
catalog subject "Hodge theory. fast".
catalog subject "Hodge theory.".
catalog subject "Hodge, Théorie de. ram".
catalog subject "Hodge, Théorie de.".
catalog subject "Hodge-Theorie. swd".
catalog subject "QA564 .V65 2002".
catalog title "Hodge theory and complex algebraic geometry / Claire Voisin ; translated by Leila Schneps.".
catalog title "Théorie de Hodge et géométrie algébrique complexe. English".
catalog type "text".