Geometry of Algebraic Curves

Volume II with a contribution by Joseph Daniel Harris

By Enrico Arbarello , Maurizio Cornalba , Phillip A. Griffiths , Joseph Daniel Harris

  • eBook Price: $89.95
Buy eBook Buy Print Book

Geometry of Algebraic Curves Cover Image

  • Add to Wishlist
  • ISBN13: 978-3-5404-2688-2
  • 993 Pages
  • Publication Date: March 10, 2011
  • Available eBook Formats: PDF

Related Titles

  • Information Systems and Neuroscience
Full Description
The second volume of the Geometry of Algebraic Curves is devoted to the foundations of the theory of moduli of algebraic curves. Its authors are research mathematicians who have actively participated in the development of the Geometry of Algebraic Curves. The subject is an extremely fertile and active one, both within the mathematical community and at the interface with the theoretical physics community. The approach is unique in its blending of algebro-geometric, complex analytic and topological/combinatorial methods. It treats important topics such as Teichmüller theory, the cellular decomposition of moduli and its consequences and the Witten conjecture. The careful and comprehensive presentation of the material is of value to students who wish to learn the subject and to experts as a reference source. The first volume appeared 1985 as vol. 267 of the same series.
Table of Contents

Table of Contents

  1. Preface.
  2. Guide to the Reader.
  3. Chapter IX. The Hilbert Scheme.
  4. Chapter X. Nodal curves.
  5. Chapter XI. Elementary deformation theory and some applications.
  6. Chapter XII. The moduli space of stable curves.
  7. Chapter XIII. Line bundles on moduli.
  8. Chapter XIV. The projectivity of the moduli space of stable curves.
  9. Chapter XV. The Teichmüller point of view.
  10. Chapter XVI. Smooth Galois covers of moduli spaces.
  11. Chapter XVII. Cycles on the moduli spaces of stable curves.
  12. Chapter XVIII. Cellular decomposition of moduli spaces.
  13. Chapter XIX. First consequences of the cellular decomposition .
  14. Chapter XX. Intersection theory of tautological classes.
  15. Chapter XXI. Brill
  16. Noether theory on a moving curve.
  17. Bibliography.
  18. Index.
Errata

Please Login to submit errata.

No errata are currently published

Best-Sellers

    1. Pro SQL Server Internals

      $41.99

      View Details

    2. Beginning 3D Game Development with Unity 4

      $34.99

      View Details

    3. Beginning iPhone Development with Swift

      $31.99

      View Details

    4. Financial Modeling for Business Owners and Entrepreneurs

      $31.99

      View Details