Editors:
- unique and up-to-date source on the developments in this very active and
- Connects to other current topics: the study of derived categories and stability conditions, Gromov-Witten theory, and dynamical systems
- Complements related volumes like “The Moduli Space of Curves” and “Moduli of Abelian Varieties” that have become classics
Part of the book series: Progress in Mathematics (PM, volume 315)
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Table of contents (14 chapters)
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Front Matter
About this book
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 sametime, 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.
Editors and Affiliations
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Mathematisch Instituut, Universiteit Utrecht, Utrecht, The Netherlands
Carel Faber
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Institut für Mathematik, Humboldt Universität Berlin, Berlin, Germany
Gavril Farkas
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Korteweg-de Vries Instituut, Universiteit van Amsterdam, Amsterdam, The Netherlands
Gerard van der Geer
Bibliographic Information
Book Title: K3 Surfaces and Their Moduli
Editors: Carel Faber, Gavril Farkas, Gerard van der Geer
Series Title: Progress in Mathematics
DOI: https://doi.org/10.1007/978-3-319-29959-4
Publisher: Birkhäuser Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-29958-7Published: 03 May 2016
Softcover ISBN: 978-3-319-80696-9Published: 27 May 2018
eBook ISBN: 978-3-319-29959-4Published: 22 April 2016
Series ISSN: 0743-1643
Series E-ISSN: 2296-505X
Edition Number: 1
Number of Pages: IX, 399
Number of Illustrations: 11 b/w illustrations, 3 illustrations in colour
Topics: Algebraic Geometry