Hodge Theory and Complex Algebraic Geometry Volume 1
Editorial Reviews
Review
'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
Book Description
This is a modern introduction to Kaehlerian geometry and Hodge structure. Coverage begins with variables, complex manifolds, holomorphic vector bundles, sheaves and cohomology theory (with the latter being treated in a more theoretical way than is usual in geometry). The book culminates with the Hodge decomposition theorem. In between, the author proves the Kaehler identities, which leads to the hard Lefschetz theorem and the Hodge index theorem. The second part of the book investigates the meaning of these results in several directions.
Hodge Theory and Complex Algebraic Geometry Volume 1
Hodge Theory and Complex Algebraic Geometry Volume 1,Claire Voisin,B. Bollobas,W. Fulton,A. Katok,F. Kirwan,P. Sarnak,B. Simon,B. Totaro,Leila Schneps,Cambridge University Press,0521802601,Algebraic Geometry,General,Geometry - Algebraic,Geometry, Algebraic,Hodge theory,Mathematics,Science/Mathematics,Algebra,Mathematics / Applied
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