Cargando…

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...

Descripción completa

Detalles Bibliográficos
Autores principales: Faber, Carel, Farkas, Gavril, Geer, Gerard
Lenguaje:eng
Publicado: Springer 2016
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-3-319-29959-4
http://cds.cern.ch/record/2151754
_version_ 1780950499591192576
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