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EHodge Theory and Complex Algebraic Geometry II

EHodge Theory and Complex Algebraic Geometry II - 03 edition

EHodge Theory and Complex Algebraic Geometry II - 03 edition

ISBN13: 9780511057229

ISBN10: 0511057229

EHodge Theory and Complex Algebraic Geometry II by Claire Voisin and Leila Schneps  Trans. - ISBN 9780511057229
Edition: 03
Copyright: 2003
Publisher: Cambridge University Press
Published:
International: No
EHodge Theory and Complex Algebraic Geometry II by Claire Voisin and Leila Schneps  Trans. - ISBN 9780511057229

ISBN13: 9780511057229

ISBN10: 0511057229

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Summary

The second volume of this modern account of Kaehlerian geometry and Hodge theory starts with the topology of families of algebraic varieties. The main results are the generalized Noether-Lefschetz theorems, the generic triviality of the Abel-Jacobi maps, and most importantly, Nori's connectivity theorem, which generalizes the above. The last part deals with the relationships between Hodge theory and algebraic cycles. The text is complemented by exercises offering useful results in complex algebraic geometry.