[PDF] K3 Surfaces and Their Moduli (Progress in Mathematics)

ISBN: 3319299581

Category: Tutorial


Posted on 2017-10-07, by luongquocchinh.

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Author: K3 Surfaces and Their Moduli | Publisher: Birkhauser | Category: Mathematics | Language: English | Page: 395 | ISBN: 3319299581 | ISBN13: 9783319299587 |

Description: Editors: Faber, Carel, Farkas, Gavril, van der Geer, Gerard (Eds.) Presents a unique and up-to-date source on the developments in this very active and diverse field 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 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. Boissire, 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. Number of Illustrations and Tables 11 b/w illustrations, 3 illustrations in colour Topics Algebraic Geometry

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