K3 Surfaces And Their Moduli 1st Edition Carel Faber Gavril Farkas by Carel Faber, Gavril Farkas, Gerard Van Der Geer 9783319299587, 9783319299594, 3319299581, 331929959X instant download after payment.

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.
Topics
Algebraic Geometry