Hodge Theory and Complex Algebraic Geometry I: Volume 1 Paperback: v. 1 (Cambridge Studies in Advanced Mathematics)

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9780521718011: Hodge Theory and Complex Algebraic Geometry I: Volume 1 Paperback: v. 1 (Cambridge Studies in Advanced Mathematics)

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.

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Críticas:

'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!

Biografía del autor:

Claire Voisin is a Professor at the Institut des Hautes Études Scientifiques, France

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1.

Claire Voisin
Editorial: CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2008)
ISBN 10: 0521718015 ISBN 13: 9780521718011
Nuevos Paperback Cantidad: 1
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The Book Depository
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Descripción CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2008. Paperback. Estado de conservación: 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. Nº de ref. de la librería AAZ9780521718011

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Claire Voisin
Editorial: Cambridge University Press 2007-12-20, Cambridge (2007)
ISBN 10: 0521718015 ISBN 13: 9780521718011
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Descripción Cambridge University Press 2007-12-20, Cambridge, 2007. paperback. Estado de conservación: New. Nº de ref. de la librería 9780521718011

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Claire Voisin, Leila Schneps
Editorial: Cambridge University Press
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Descripción Cambridge University Press. Paperback. Estado de conservación: 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. Nº de ref. de la librería B9780521718011

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Claire Voisin
Editorial: CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2008)
ISBN 10: 0521718015 ISBN 13: 9780521718011
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Descripción CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2008. Paperback. Estado de conservación: 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. Nº de ref. de la librería AAZ9780521718011

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Voisin, Claire
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ISBN 10: 0521718015 ISBN 13: 9780521718011
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Descripción Cambridge University Press, 2007. PAP. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería GB-9780521718011

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Voisin; Schneps
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Descripción Estado de conservación: New. Bookseller Inventory # ST0521718015. Nº de ref. de la librería ST0521718015

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Claire Voisin
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Descripción Paperback. Estado de conservación: 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. Nº de ref. de la librería ria9780521718011_rkm

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Voisin; Schneps
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Descripción Estado de conservación: New. Depending on your location, this item may ship from the US or UK. Nº de ref. de la librería 97805217180110000000

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Voisin, Claire/ Schneps, Leila (Translator)
Editorial: Cambridge Univ Pr (2007)
ISBN 10: 0521718015 ISBN 13: 9780521718011
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Descripción Cambridge Univ Pr, 2007. Paperback. Estado de conservación: Brand New. 1st edition. 332 pages. 8.75x6.00x0.75 inches. In Stock. Nº de ref. de la librería __0521718015

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Descripción Cambridge University Press, 2007. PAP. Estado de conservación: New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería LQ-9780521718011

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