Hodge Theory and Complex Algebraic Geometry I: Volume 1

Nonfiction, Science & Nature, Mathematics, Topology, Geometry
Cover of the book Hodge Theory and Complex Algebraic Geometry I: Volume 1 by Claire Voisin, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Claire Voisin ISBN: 9781139636841
Publisher: Cambridge University Press Publication: December 5, 2002
Imprint: Cambridge University Press Language: English
Author: Claire Voisin
ISBN: 9781139636841
Publisher: Cambridge University Press
Publication: December 5, 2002
Imprint: Cambridge University Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Cambridge University Press

Cover of the book Climate Change Geoengineering by Claire Voisin
Cover of the book The Cambridge Companion to the Body in Literature by Claire Voisin
Cover of the book Hegel on the Modern Arts by Claire Voisin
Cover of the book Herder's Hermeneutics by Claire Voisin
Cover of the book Ecological Imperialism by Claire Voisin
Cover of the book The Cambridge Handbook of Stylistics by Claire Voisin
Cover of the book Shakespeare's Individualism by Claire Voisin
Cover of the book Peacemakers in Action: Volume 2 by Claire Voisin
Cover of the book Image, Text, and Religious Reform in Fifteenth-Century England by Claire Voisin
Cover of the book The Cambridge Companion to Critical Theory by Claire Voisin
Cover of the book Statistical Physics of Fields by Claire Voisin
Cover of the book The Opening Up of International Organizations by Claire Voisin
Cover of the book The Women of Colonial Latin America by Claire Voisin
Cover of the book Plant Evolutionary Developmental Biology by Claire Voisin
Cover of the book Rival Reputations by Claire Voisin
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy