Hodge Theory And Classical Algebraic Geometry
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Hodge Theory and Classical Algebraic Geometry
Author | : Gary Kennedy,Mirel Caibăr, Ana-Maria Castravet,Emanuele Macrì |
Publsiher | : American Mathematical Soc. |
Total Pages | : 137 |
Release | : 2015-08-27 |
Genre | : Geometry, Algebraic |
ISBN | : 9781470409906 |
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This volume contains the proceedings of a conference on Hodge Theory and Classical Algebraic Geometry, held May 13-15, 2013, at The Ohio State University, Columbus, OH. Hodge theory is a powerful tool for the study and classification of algebraic varieties. This volume surveys recent progress in Hodge theory, its generalizations, and applications. The topics range from more classical aspects of Hodge theory to modern developments in compactifications of period domains, applications of Saito's theory of mixed Hodge modules, and connections with derived category theory and non-commutative motives.
Hodge Theory and Classical Algebraic Geometry
![Hodge Theory and Classical Algebraic Geometry](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Gary Kennedy |
Publsiher | : Unknown |
Total Pages | : 137 |
Release | : 2015 |
Genre | : Geometry, Algebraic |
ISBN | : 1470426714 |
Download Hodge Theory and Classical Algebraic Geometry Book in PDF, Epub and Kindle
This volume contains the proceedings of a conference on Hodge Theory and Classical Algebraic Geometry, held May 13-15, 2013, at The Ohio State University, Columbus, OH. Hodge theory is a powerful tool for the study and classification of algebraic varieties. This volume surveys recent progress in Hodge theory, its generalizations, and applications. The topics range from more classical aspects of Hodge theory to modern developments in compactifications of period domains, applications of Saito's theory of mixed Hodge modules, and connections with derived category theory and non-commutative motive.
Hodge Theory and Complex Algebraic Geometry I Volume 1
Author | : Claire Voisin |
Publsiher | : Cambridge University Press |
Total Pages | : 336 |
Release | : 2002-12-05 |
Genre | : Mathematics |
ISBN | : 9781139437691 |
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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.
Hodge Theory
Author | : Eduardo H.C. Cattani,Francisco Guillen,Aroldo Kaplan,Fernando Puerta |
Publsiher | : Springer |
Total Pages | : 182 |
Release | : 2006-11-15 |
Genre | : Mathematics |
ISBN | : 9783540477945 |
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Over the past 2O years classical Hodge theory has undergone several generalizations of great interest in algebraic geometry. The papers in this volume reflect the recent developments in the areas of: mixed Hodge theory on the cohomology of singular and open varieties, on the rational homotopy of algebraic varieties, on the cohomology of a link, and on the vanishing cycles; L -realization of the intersection cohomology for the cases of singular varieties and smooth varieties with degenerating coefficients; applications of cubical hyperresolutions and of iterated integrals; asymptotic behavior of degenerating variations of Hodge structure; the geometric realization of maximal variations; and variations of mixed Hodge structure. N
Hodge Theory and Complex Algebraic Geometry I
Author | : Claire Voisin |
Publsiher | : Cambridge University Press |
Total Pages | : 334 |
Release | : 2007-12-20 |
Genre | : Mathematics |
ISBN | : 0521718015 |
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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
![Hodge Theory and Complex Algebraic Geometry](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Claire Voisin (mathématicienne)) |
Publsiher | : Unknown |
Total Pages | : 135 |
Release | : 2002 |
Genre | : Geometry, Algebraic |
ISBN | : OCLC:271460292 |
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Hodge Theory and Complex Algebraic Geometry II
Author | : Claire Voisin |
Publsiher | : Cambridge University Press |
Total Pages | : 362 |
Release | : 2007-12-20 |
Genre | : Mathematics |
ISBN | : 0521718023 |
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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. Also available: Volume I 0-521-80260-1 Hardback $60.00 C
Topics in Transcendental Algebraic Geometry AM 106 Volume 106
Author | : Phillip A. Griffiths |
Publsiher | : Princeton University Press |
Total Pages | : 328 |
Release | : 2016-03-02 |
Genre | : Mathematics |
ISBN | : 9781400881659 |
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The description for this book, Topics in Transcendental Algebraic Geometry. (AM-106), Volume 106, will be forthcoming.