Advertisement

Geometry of Moduli

  • Jan Arthur Christophersen
  • Kristian Ranestad
Conference proceedings Abelsymposium 2017

Part of the Abel Symposia book series (ABEL, volume 14)

About these proceedings

Introduction

The proceedings from the Abel Symposium on Geometry of Moduli, held at Svinøya Rorbuer, Svolvær in Lofoten, in August 2017, present both survey and research articles on the recent surge of developments in understanding moduli problems in algebraic geometry. Written by many of the main contributors to this evolving subject, the book provides a comprehensive collection of new methods and the various directions in which moduli theory is advancing. These include the geometry of moduli spaces, non-reductive geometric invariant theory, birational geometry, enumerative geometry, hyper-kähler geometry, syzygies of curves and Brill-Noether theory and stability conditions. Moduli theory is ubiquitous in algebraic geometry, and this is reflected in the list of moduli spaces addressed in this volume: sheaves on varieties, symmetric tensors, abelian differentials, (log) Calabi-Yau varieties, points on schemes, rational varieties, curves, abelian varieties and hyper-Kähler manifolds.

Keywords

algebraic geometry moduli spaces bridgeland stability stability conditions birational geometry algebraic curves geometry invariant theory

Editors and affiliations

  • Jan Arthur Christophersen
    • 1
  • Kristian Ranestad
    • 2
  1. 1.Department of MathematicsUniversity of OsloOsloNorway
  2. 2.Department of MathematicsUniversity of OsloOsloNorway

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-94881-2
  • Copyright Information Springer Nature Switzerland AG 2018
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-94880-5
  • Online ISBN 978-3-319-94881-2
  • Series Print ISSN 2193-2808
  • Series Online ISSN 2197-8549
  • Buy this book on publisher's site