Hodge Theory and Complex Algebraic Geometry I: Volume 1

Claire Voisin

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Language: English

Published by Cambridge University Press, 2002

0521802601 / 9780521802604

Series: Book 21 of 151 - Cambridge Studies in Advanced Mathematics

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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.

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Title
Hodge Theory and Complex Algebraic Geometry I: Volume 1
Author
Claire Voisin
Publisher
Cambridge University Press
Publication year
2002
Condition
Good
Binding
Hardback
Language
English
ISBN 10
0521802601
ISBN 13
9780521802604
Series
Book 21 of 151: Cambridge Studies in Advanced Mathematics

World of Books (was SecondSale)

Montgomery, IL, U.S.A.

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Founded in 2002, World of Books is a leading online destination for buying and selling both preloved and new books, committed to making sustainable reading accessible to all. With a mission to help people read more and waste less, World of Books offers a huge range of affordable, high-quality books — giving both new and preloved titles a second life. The company also operates World of Books – Sell Your Books, an easy-to-use platform that allows customers to trade in unwanted books for cash, helping to keep books in circulation while promoting sustainability. As a Certified B Corp, World of Books is driven by a vision to become the world’s largest and most sustainable dedicated online bookstore. The company measures its success through the positive environmental impact it creates, the value it provides to customers, and its ability to operate profitably while supporting its sustainable mission …

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