Hodge Theory and Complex Algebraic Geometry I: Volume 1

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9780521718011: Hodge Theory and Complex Algebraic Geometry I: Volume 1

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.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Recensione:

'This introductory text to Hodge theory and Kahlerian geometry is an excellent and modern introduction to the subject, shining with comprehensiveness, strictness, clarity, rigor, thematic steadfastness of purpose, and catching enthusiasm for this fascinating field of contemporary mathematical research. This book is exceedingly instructive, inspiring, challenging and user-friendly, which makes it truly outstanding and extremely valuable for students, teachers, and researchers in complex geometry.' Zentralblatt MATH

'I would recommend anyone interested in learning about a topic in complex differential or algebraic geometry to read Voisin's volumes. She has done a remarkably good job.' Proceedings of the Edinburgh Mathematical Society

'… this book is going to become a very common reference in this field … useful for both a student trying to learn the subject as well as the researcher that can find a wealth of results in a clear and compact format. The exposition is very precise and the introduction that precedes each chapter helps the reader to focus on the main ideas in the text.' Mathematical Reviews

'The book provides a very satisfying exposition of all the methods of studying algebraic cycles that have come out of Hodge theory.' Bulletin of the London Mathematical Society

'Mathematical rewards [await] those who invest their mathematical energies in this beautiful pair of volumes.' Bulletin of the AMS

Prize Winner Cambridge University Press congratulates Claire Voisin, winner of the 2007 Ruth Lyttle Satter Prize in Mathematics!

Descrizione del libro:

This is a completely self-contained modern introduction to Kaehlerian geometry and Hodge structure. The author proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index theorem. Aimed at students, the text is complemented by exercises which provide useful results in complex algebraic geometry.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

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1.

Claire Voisin
Editore: CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2008)
ISBN 10: 0521718015 ISBN 13: 9780521718011
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Descrizione libro CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2008. Paperback. Condizione libro: New. 226 x 152 mm. Language: English . Brand New Book. 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. Codice libro della libreria AAZ9780521718011

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Claire Voisin
Editore: Cambridge University Press 2007-12-20, Cambridge (2007)
ISBN 10: 0521718015 ISBN 13: 9780521718011
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Descrizione libro Cambridge University Press 2007-12-20, Cambridge, 2007. paperback. Condizione libro: New. Codice libro della libreria 9780521718011

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3.

Claire Voisin
Editore: CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2008)
ISBN 10: 0521718015 ISBN 13: 9780521718011
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Descrizione libro CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2008. Paperback. Condizione libro: New. 226 x 152 mm. Language: English . Brand New Book. 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. Codice libro della libreria AAZ9780521718011

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Claire Voisin, Leila Schneps
Editore: Cambridge University Press
ISBN 10: 0521718015 ISBN 13: 9780521718011
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Descrizione libro Cambridge University Press. Paperback. Condizione libro: new. BRAND NEW, Hodge Theory and Complex Algebraic Geometry I: Volume 1: v. 1, Claire Voisin, Leila Schneps, 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. Codice libro della libreria B9780521718011

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Voisin, Claire
Editore: Cambridge University Press (2008)
ISBN 10: 0521718015 ISBN 13: 9780521718011
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Descrizione libro Cambridge University Press, 2008. Condizione libro: New. 2008. 1st Edition. Paperback. The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure written for students. Translator(s): Schneps, Leila. Series: Cambridge Studies in Advanced Mathematics. Num Pages: 334 pages, 30 exercises. BIC Classification: PBMW. Category: (P) Professional & Vocational. Dimension: 225 x 152 x 19. Weight in Grams: 498. Series: Cambridge Studies in Advanced Mathematics. 334 pages, 30 exercises. The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure written for students. Cateogry: (P) Professional & Vocational. BIC Classification: PBMW. Dimension: 225 x 152 x 19. Weight: 536. Translator(s): Schneps, Leila. . . . . . . Codice libro della libreria V9780521718011

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Descrizione libro Cambridge University Press, 2007. PAP. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria GB-9780521718011

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Descrizione libro Condizione libro: New. Bookseller Inventory # ST0521718015. Codice libro della libreria ST0521718015

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Descrizione libro Cambridge University Press. Condizione libro: New. 2008. 1st Edition. Paperback. The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure written for students. Translator(s): Schneps, Leila. Series: Cambridge Studies in Advanced Mathematics. Num Pages: 334 pages, 30 exercises. BIC Classification: PBMW. Category: (P) Professional & Vocational. Dimension: 225 x 152 x 19. Weight in Grams: 498. Series: Cambridge Studies in Advanced Mathematics. 334 pages, 30 exercises. The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure written for students. Cateogry: (P) Professional & Vocational. BIC Classification: PBMW. Dimension: 225 x 152 x 19. Weight: 536. Translator(s): Schneps, Leila. . . . . . Books ship from the US and Ireland. Codice libro della libreria V9780521718011

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Claire Voisin
ISBN 10: 0521718015 ISBN 13: 9780521718011
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Descrizione libro Paperback. Condizione libro: New. Not Signed; 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. book. Codice libro della libreria ria9780521718011_rkm

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Descrizione libro Condizione libro: New. Depending on your location, this item may ship from the US or UK. Codice libro della libreria 97805217180110000000

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