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Geometric Invariant Theory for Polarized Curves, Paperback / softback Book

Geometric Invariant Theory for Polarized Curves Paperback / softback

Part of the Lecture Notes in Mathematics series

Paperback / softback

Description

We investigate GIT quotients of polarized curves. More specifically, we study the GIT problem for the Hilbert and Chow schemes of curves of degree d and genus g in a projective space of dimension d-g, as d decreases with respect to g.

We prove that the first three values of d at which the GIT quotients change are given by d=a(2g-2) where a=2, 3.5, 4.

We show that, for a>4, L. Caporaso's results hold true for both Hilbert and Chow semistability.

If 3.5

Information

  • Format:Paperback / softback
  • Pages:211 pages, 17 Illustrations, black and white; X, 211 p. 17 illus.
  • Publisher:Springer International Publishing AG
  • Publication Date:
  • Category:
  • ISBN:9783319113364

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Information

  • Format:Paperback / softback
  • Pages:211 pages, 17 Illustrations, black and white; X, 211 p. 17 illus.
  • Publisher:Springer International Publishing AG
  • Publication Date:
  • Category:
  • ISBN:9783319113364