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K3 surfaces and their moduli
This book provides an overview of the latest developments concerning the moduli of K3 surfaces. It is aimed at algebraic geometers, but is also of interest to number theorists and theoretical physicists, and continues the tradition of related volumes like “The Moduli Space of Curves” and “Moduli of...
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Lenguaje: | eng |
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Springer
2016
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Acceso en línea: | https://dx.doi.org/10.1007/978-3-319-29959-4 http://cds.cern.ch/record/2151754 |
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author | Faber, Carel Farkas, Gavril Geer, Gerard |
author_facet | Faber, Carel Farkas, Gavril Geer, Gerard |
author_sort | Faber, Carel |
collection | CERN |
description | This book provides an overview of the latest developments concerning the moduli of K3 surfaces. It is aimed at algebraic geometers, but is also of interest to number theorists and theoretical physicists, and continues the tradition of related volumes like “The Moduli Space of Curves” and “Moduli of Abelian Varieties,” which originated from conferences on the islands Texel and Schiermonnikoog and which have become classics. K3 surfaces and their moduli form a central topic in algebraic geometry and arithmetic geometry, and have recently attracted a lot of attention from both mathematicians and theoretical physicists. Advances in this field often result from mixing sophisticated techniques from algebraic geometry, lattice theory, number theory, and dynamical systems. The topic has received significant impetus due to recent breakthroughs on the Tate conjecture, the study of stability conditions and derived categories, and links with mirror symmetry and string theory. At the same time, the theory of irreducible holomorphic symplectic varieties, the higher dimensional analogues of K3 surfaces, has become a mainstream topic in algebraic geometry. Contributors: S. Boissière, A. Cattaneo, I. Dolgachev, V. Gritsenko, B. Hassett, G. Heckman, K. Hulek, S. Katz, A. Klemm, S. Kondo, C. Liedtke, D. Matsushita, M. Nieper-Wisskirchen, G. Oberdieck, K. Oguiso, R. Pandharipande, S. Rieken, A. Sarti, I. Shimada, R. P. Thomas, Y. Tschinkel, A. Verra, C. Voisin. |
id | cern-2151754 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 2016 |
publisher | Springer |
record_format | invenio |
spelling | cern-21517542021-04-21T19:42:24Zdoi:10.1007/978-3-319-29959-4http://cds.cern.ch/record/2151754engFaber, CarelFarkas, GavrilGeer, GerardK3 surfaces and their moduliMathematical Physics and MathematicsThis book provides an overview of the latest developments concerning the moduli of K3 surfaces. It is aimed at algebraic geometers, but is also of interest to number theorists and theoretical physicists, and continues the tradition of related volumes like “The Moduli Space of Curves” and “Moduli of Abelian Varieties,” which originated from conferences on the islands Texel and Schiermonnikoog and which have become classics. K3 surfaces and their moduli form a central topic in algebraic geometry and arithmetic geometry, and have recently attracted a lot of attention from both mathematicians and theoretical physicists. Advances in this field often result from mixing sophisticated techniques from algebraic geometry, lattice theory, number theory, and dynamical systems. The topic has received significant impetus due to recent breakthroughs on the Tate conjecture, the study of stability conditions and derived categories, and links with mirror symmetry and string theory. At the same time, the theory of irreducible holomorphic symplectic varieties, the higher dimensional analogues of K3 surfaces, has become a mainstream topic in algebraic geometry. Contributors: S. Boissière, A. Cattaneo, I. Dolgachev, V. Gritsenko, B. Hassett, G. Heckman, K. Hulek, S. Katz, A. Klemm, S. Kondo, C. Liedtke, D. Matsushita, M. Nieper-Wisskirchen, G. Oberdieck, K. Oguiso, R. Pandharipande, S. Rieken, A. Sarti, I. Shimada, R. P. Thomas, Y. Tschinkel, A. Verra, C. Voisin.Springeroai:cds.cern.ch:21517542016 |
spellingShingle | Mathematical Physics and Mathematics Faber, Carel Farkas, Gavril Geer, Gerard K3 surfaces and their moduli |
title | K3 surfaces and their moduli |
title_full | K3 surfaces and their moduli |
title_fullStr | K3 surfaces and their moduli |
title_full_unstemmed | K3 surfaces and their moduli |
title_short | K3 surfaces and their moduli |
title_sort | k3 surfaces and their moduli |
topic | Mathematical Physics and Mathematics |
url | https://dx.doi.org/10.1007/978-3-319-29959-4 http://cds.cern.ch/record/2151754 |
work_keys_str_mv | AT fabercarel k3surfacesandtheirmoduli AT farkasgavril k3surfacesandtheirmoduli AT geergerard k3surfacesandtheirmoduli |