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 &...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Faber, Carel (Editor ), Farkas, Gavril (Editor ), van der Geer, Gerard (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016.
Edición:1st ed. 2016.
Colección:Progress in Mathematics, 315
Temas:
Algebraic geometry.
Algebraic Geometry.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Introduction
  • Samuel Boissière, Andrea Cattaneo, Marc Nieper-Wisskirchen, and Alessandra Sarti: The automorphism group of the Hilbert scheme of two points on a generic projective K3 surface
  • Igor Dolgachev: Orbital counting of curves on algebraic surfaces and sphere packings
  • V. Gritsenko and K. Hulek: Moduli of polarized Enriques surfaces
  • Brendan Hassett and Yuri Tschinkel: Extremal rays and automorphisms of holomorphic symplectic varieties
  • Gert Heckman and Sander Rieken: An odd presentation for W(E_6)
  • S. Katz, A. Klemm, and R. Pandharipande, with an appendix by R. P. Thomas: On the motivic stable pairs invariants of K3 surfaces
  • Shigeyuki Kondö: The Igusa quartic and Borcherds products
  • Christian Liedtke: Lectures on supersingular K3 surfaces and the crystalline Torelli theorem
  • Daisuke Matsushita: On deformations of Lagrangian fibrations
  • G. Oberdieck and R. Pandharipande: Curve counting on K3 x E, the Igusa cusp form X_10, and descendent integration
  • Keiji Oguiso: Simple abelian varieties and primitive automorphisms of null entropy of surfaces
  • Ichiro Shimada: The automorphism groups of certain singular K3 surfaces and an Enriques surface
  • Alessandro Verra: Geometry of genus 8 Nikulin surfaces and rationality of their moduli
  • Claire Voisin: Remarks and questions on coisotropic subvarieties and 0-cycles of hyper-Kähler varieties.

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