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Hodge Theory And Complex Algebraic Geometry I

Pub Date : 2002-12-05 | Author : Claire Voisin | Publisher : Cambridge University Press

ISBN 10 : 1139437690
ISBN 13 : 9781139437691

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, hol..


Introduction To Hodge Theory

Pub Date : 2002 | Author : José Bertin | Publisher : American Mathematical Soc.

ISBN 10 : 0821820400
ISBN 13 : 9780821820407

Hodge theory is a powerful tool in analytic and algebraic geometry. This book consists of expositions of aspects of modern Hodge theory, with the purpose of providing the nonexpert..


Differential Forms On Singular Varieties

Pub Date : 2005-08-24 | Author : Vincenzo Ancona | Publisher : CRC Press

ISBN 10 : 1420026526
ISBN 13 : 9781420026528

Differential Forms on Singular Varieties: De Rham and Hodge Theory Simplified uses complexes of differential forms to give a complete treatment of the Deligne theory of mixed Hodge..


Algebraic Cycles And Hodge Theory

Pub Date : 2004-09-03 | Author : Mark L. Green | Publisher : Springer

ISBN 10 : 9783540490463
ISBN 13 : 3540490469

The main goal of the CIME Summer School on "Algebraic Cycles and Hodge Theory" has been to gather the most active mathematicians in this area to make the point on the present state..


Hodge Theory And Complex Algebraic Geometry Ii

Pub Date : 2003-07-03 | Author : Claire Voisin | Publisher : Cambridge University Press

ISBN 10 : 1139437704
ISBN 13 : 9781139437707

The 2003 second volume of this account of Kaehlerian geometry and Hodge theory starts with the topology of families of algebraic varieties. Proofs of the Lefschetz theorem on hyper..


The Hodge Theory Of Projective Manifolds

Pub Date : 2007 | Author : Mark Andrea De Cataldo | Publisher : World Scientific

ISBN 10 : 9781860948008
ISBN 13 : 1860948006

This book is a written-up and expanded version of eight lectures on the Hodge theory of projective manifolds. It assumes very little background and aims at describing how the theor..


Recent Advances In Hodge Theory

Pub Date : 2016-01-31 | Author : Matt Kerr | Publisher : Cambridge University Press

ISBN 10 : 9781107546295
ISBN 13 : 110754629X

Combines cutting-edge research and expository articles in Hodge theory. An essential reference for graduate students and researchers...