Hodge Theory And Complex Algebraic Geometry Ii Volume 2
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Hodge Theory And Complex Algebraic Geometry
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Author : Claire Voisin
language : en
Publisher:
Release Date : 2003
Hodge Theory And Complex Algebraic Geometry written by Claire Voisin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Geometry, Algebraic categories.
Hodge Theory And Complex Algebraic Geometry
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Author : Voisin
language : en
Publisher:
Release Date : 2014-01-01
Hodge Theory And Complex Algebraic Geometry written by Voisin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-01 with Hodge theory categories.
The second of two volumes offering a modern account of Kaehlerian geometry and Hodge theory for researchers in algebraic and differential geometry.
Hodge Theory And Complex Algebraic Geometry Ii
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Author : Claire Voisin
language : en
Publisher:
Release Date : 2003
Hodge Theory And Complex Algebraic Geometry Ii written by Claire Voisin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Geometry, Algebraic categories.
The second volume of this modern, self-contained account of Kaehlerian geometry and Hodge theory continues Voisin's study of topology of families of algebraic varieties and the relationships between Hodge theory and algebraic cycles. Aimed at researchers, the text is complemented by exercises which provide useful results in complex algebraic geometry.
Hodge Theory And Complex Algebraic Geometry Ii Volume 2
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Author : Claire Voisin
language : en
Publisher: Cambridge University Press
Release Date : 2003-07-03
Hodge Theory And Complex Algebraic Geometry Ii Volume 2 written by Claire Voisin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-03 with Mathematics categories.
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 hyperplane sections, the Picard–Lefschetz study of Lefschetz pencils, and Deligne theorems on the degeneration of the Leray spectral sequence and the global invariant cycles follow. The main results of the second part 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 of the book is devoted to the relationships between Hodge theory and algebraic cycles. The book concludes with the example of cycles on abelian varieties, where some results of Bloch and Beauville, for example, are expounded. The text is complemented by exercises giving useful results in complex algebraic geometry. It will be welcomed by researchers in both algebraic and differential geometry.
Hodge Theory And Complex Algebraic Geometry Ii Volume 2
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Author : Claire Voisin
language : en
Publisher: Cambridge University Press
Release Date : 2007-12-20
Hodge Theory And Complex Algebraic Geometry Ii Volume 2 written by Claire Voisin and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-20 with Mathematics categories.
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
Hodge Theory And Complex Algebraic Geometry Ii
DOWNLOAD
Author : Claire Voisin
language : en
Publisher:
Release Date : 2003
Hodge Theory And Complex Algebraic Geometry Ii written by Claire Voisin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Geometry, Algebraic categories.
The second volume of this modern, self-contained account of Kaehlerian geometry and Hodge theory continues Voisin's study of topology of families of algebraic varieties and the relationships between Hodge theory and algebraic cycles. Aimed at researchers, the text is complemented by exercises which provide useful results in complex algebraic geometry.
Hodge Theory And Complex Algebraic Geometry
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Author : Claire Voisin (mathématicienne))
language : en
Publisher:
Release Date : 2002
Hodge Theory And Complex Algebraic Geometry written by Claire Voisin (mathématicienne)) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Geometry, Algebraic categories.
Quantum Geometry Matrix Theory And Gravity
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Author : Harold C. Steinacker
language : en
Publisher: Cambridge University Press
Release Date : 2024-04-11
Quantum Geometry Matrix Theory And Gravity written by Harold C. Steinacker and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-11 with Science categories.
This book describes quantum geometry in the framework of Matrix Theory, which offers a quantum theory of space-time and matter.
Hodge Theory
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Author : Eduardo Cattani
language : en
Publisher: Princeton University Press
Release Date : 2014-07-21
Hodge Theory written by Eduardo Cattani and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-21 with Mathematics categories.
This book provides a comprehensive and up-to-date introduction to Hodge theory—one of the central and most vibrant areas of contemporary mathematics—from leading specialists on the subject. The topics range from the basic topology of algebraic varieties to the study of variations of mixed Hodge structure and the Hodge theory of maps. Of particular interest is the study of algebraic cycles, including the Hodge and Bloch-Beilinson Conjectures. Based on lectures delivered at the 2010 Summer School on Hodge Theory at the ICTP in Trieste, Italy, the book is intended for a broad group of students and researchers. The exposition is as accessible as possible and doesn't require a deep background. At the same time, the book presents some topics at the forefront of current research. The book is divided between introductory and advanced lectures. The introductory lectures address Kähler manifolds, variations of Hodge structure, mixed Hodge structures, the Hodge theory of maps, period domains and period mappings, algebraic cycles (up to and including the Bloch-Beilinson conjecture) and Chow groups, sheaf cohomology, and a new treatment of Grothendieck’s algebraic de Rham theorem. The advanced lectures address a Hodge-theoretic perspective on Shimura varieties, the spread philosophy in the study of algebraic cycles, absolute Hodge classes (including a new, self-contained proof of Deligne’s theorem on absolute Hodge cycles), and variation of mixed Hodge structures. The contributors include Patrick Brosnan, James Carlson, Eduardo Cattani, François Charles, Mark Andrea de Cataldo, Fouad El Zein, Mark L. Green, Phillip A. Griffiths, Matt Kerr, Lê Dũng Tráng, Luca Migliorini, Jacob P. Murre, Christian Schnell, and Loring W. Tu.
What Is The Genus
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Author : Patrick Popescu-Pampu
language : en
Publisher: Springer
Release Date : 2016-08-26
What Is The Genus written by Patrick Popescu-Pampu and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-26 with Mathematics categories.
Exploring several of the evolutionary branches of the mathematical notion of genus, this book traces the idea from its prehistory in problems of integration, through algebraic curves and their associated Riemann surfaces, into algebraic surfaces, and finally into higher dimensions. Its importance in analysis, algebraic geometry, number theory and topology is emphasized through many theorems. Almost every chapter is organized around excerpts from a research paper in which a new perspective was brought on the genus or on one of the objects to which this notion applies. The author was motivated by the belief that a subject may best be understood and communicated by studying its broad lines of development, feeling the way one arrives at the definitions of its fundamental notions, and appreciating the amount of effort spent in order to explore its phenomena.