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Geometric Invariant Theory for Polarized Curves by Gilberto Bini 9783319113364

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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

Book Information
ISBN 9783319113364
Author Gilberto Bini
Format Paperback
Page Count 211
Imprint Springer International Publishing AG
Publisher Springer International Publishing AG
Weight(grams) 349g

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