Abel Symposia

Geometry of Moduli

Editors: Christophersen, Jan, Ranestad, Kristian (Eds.)

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  • First publication of surveys on recent developments on moduli spaces in algebraic geometry
  • Comprehensive collection
  • Will serve both as a reference and a guide to important directions in the geometric study of moduli spaces
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eBook $129.00
price for USA in USD (gross)
  • ISBN 978-3-319-94881-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-3-319-94880-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.


Table of contents (10 chapters)

Table of contents (10 chapters)
  • Stratifying Quotient Stacks and Moduli Stacks

    Bérczi, Gergely (et al.)

    Pages 1-33

  • The Donaldson-Thomas Theory of K3 × E via the Topological Vertex

    Bryan, Jim

    Pages 35-64

  • An Extremal Effective Survey About Extremal Effective Cycles in Moduli Spaces of Curves

    Chen, Dawei

    Pages 65-74

  • The Moduli Spaces of Sheaves on Surfaces, Pathologies and Brill-Noether Problems

    Coskun, Izzet (et al.)

    Pages 75-105

  • Geometric Invariant Theory of Syzygies, with Applications to Moduli Spaces

    Fedorchuk, Maksym

    Pages 107-134

Buy this book

eBook $129.00
price for USA in USD (gross)
  • ISBN 978-3-319-94881-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.99
price for USA in USD
  • ISBN 978-3-319-94880-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Geometry of Moduli
Editors
  • Jan Christophersen
  • Kristian Ranestad
Series Title
Abel Symposia
Series Volume
14
Copyright
2018
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-319-94881-2
DOI
10.1007/978-3-319-94881-2
Hardcover ISBN
978-3-319-94880-5
Series ISSN
2193-2808
Edition Number
1
Number of Pages
IX, 326
Number of Illustrations
8 b/w illustrations, 5 illustrations in colour
Topics