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Geometric Invariant Theory for Polarized Curves by Gilberto Bini
Geometric Invariant Theory for Polarized Curves by Gilberto Bini
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Geometric Invariant Theory for Polarized Curves

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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
Release date NZ
November 19th, 2014
Audience
  • Professional & Vocational
Illustrations
17 Illustrations, black and white; X, 211 p. 17 illus.
Pages
211
Dimensions
155x235x12
ISBN-13
9783319113364
Product ID
22666172

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