Geometry of Algebraic Curves Volume II with a contribution by Joseph Daniel Harris

Geometry of Algebraic Curves Volume II with a contribution by Joseph Daniel Harris / by Enrico Arbarello, Maurizio Cornalba, Phillip Griffiths.

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 acti...

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Bibliographic Details
Main Authors: Arbarello, Enrico (Author), Cornalba, Maurizio (Author), Griffiths, Phillip (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2011.
Edition:1st ed. 2011.
Series:Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics, 268
Springer eBook Collection.
Subjects:
Algebraic geometry.
Functions of complex variables.
Manifolds (Mathematics).
Complex manifolds.
Combinatorics.
Mathematical physics.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • Preface
  • Guide to the Reader
  • Chapter IX. The Hilbert Scheme
  • Chapter X. Nodal curves
  • Chapter XI. Elementary deformation theory and some applications
  • Chapter XII. The moduli space of stable curves
  • Chapter XIII. Line bundles on moduli
  • Chapter XIV. The projectivity of the moduli space of stable curves
  • Chapter XV. The Teichmüller point of view
  • Chapter XVI. Smooth Galois covers of moduli spaces
  • Chapter XVII. Cycles on the moduli spaces of stable curves
  • Chapter XVIII. Cellular decomposition of moduli spaces
  • Chapter XIX. First consequences of the cellular decomposition
  • Chapter XX. Intersection theory of tautological classes
  • Chapter XXI. Brill-Noether theory on a moving curve
  • Bibliography
  • Index.

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