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Hodge Theory and Complex Algebraic Geometry I

Hodge Theory and Complex Algebraic Geometry I - 02 edition

ISBN13: 978-0521718011

Cover of Hodge Theory and Complex Algebraic Geometry I 02 (ISBN 978-0521718011)
ISBN13: 978-0521718011
ISBN10: 0521718015 Edition: 02
Copyright: 2002
Publisher: Cambridge University Press
Published: 2002
International: No

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Hodge Theory and Complex Algebraic Geometry I - 02 edition

ISBN13: 978-0521718011

Claire Voisin

ISBN13: 978-0521718011
ISBN10: 0521718015 Edition: 02
Copyright: 2002
Publisher: Cambridge University Press
Published: 2002
International: No
Summary

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 and culminates with the Hodge decomposition theorem. 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. The text is complemented by exercises which provide useful results in complex algebraic geometry.

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