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Hodge theory and complex algebraic g...

Voisin, Claire, (1962-)

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Hodge theory and complex algebraic geometry.. 1

Record Type:	Electronic resources : Monograph/item
Title/Author:	Hodge theory and complex algebraic geometry./ Claire Voisin ; translated by Leila Schneps.
Author:	Voisin, Claire,
other author:	Schneps, Leila.
Published:	Cambridge :Cambridge University Press, : 2002.,
Description:	ix, 322 p. :ill., digital ;24 cm.
Notes:	Title from publisher's bibliographic system (viewed on 05 Oct 2015).
Subject:	Hodge theory. -
Online resource:	https://doi.org/10.1017/CBO9780511615344
ISBN:	9780511615344

Hodge theory and complex algebraic geometry.. 1
Voisin, Claire,1962-

Hodge theory and complex algebraic geometry.1[electronic resource] /Claire Voisin ; translated by Leila Schneps. - Cambridge :Cambridge University Press,2002. - ix, 322 p. :ill., digital ;24 cm. - Cambridge studies in advanced mathematics ;76. - Cambridge studies in advanced mathematics ;76..

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.

ISBN: 9780511615344Subjects--Topical Terms:

701563
Hodge theory.

LC Class. No.: QA564 / .V65 2002

Dewey Class. No.: 516.35

Hodge theory and complex algebraic geometry.. 1
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020 $a 9780521802604 $q (hardback)
020 $a 9780521718011 $q (paperback)
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100 1 $a Voisin, Claire, $d 1962- $3 3470552
240 1 0 $a Theorie de Hodge et geometrie algebrique complexe. $l English
245 1 0 $a Hodge theory and complex algebraic geometry. $n 1 $h [electronic resource] / $c Claire Voisin ; translated by Leila Schneps.
260 $a Cambridge : $b Cambridge University Press, $c 2002.
300 $a ix, 322 p. : $b ill., digital ; $c 24 cm.
490 1 $a Cambridge studies in advanced mathematics ; $v 76
500 $a Title from publisher's bibliographic system (viewed on 05 Oct 2015).
520 $a 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.
650 0 $a Hodge theory. $3 701563
650 0 $a Geometry, Algebraic. $3 532048
700 1 $a Schneps, Leila. $3 745251
830 0 $a Cambridge studies in advanced mathematics ; $v 76. $3 3470641
856 4 0 $u https://doi.org/10.1017/CBO9780511615344