GIT for polarized curves

Details GIT for polarized curves GIT for polarized curves

2011-09-30

arxiv.org/abs/1109.6908v2

Mathematics

Algebraic Geometry

Section 7 on the stabilizer subgroups has been completely rewritten. We note that the numerical assumptions on the degree and

Scientific paper

We study the GIT quotients of the Hilbert and Chow schemes of curves, as their degree d decreases with respect to their genus g. We show that the previous results of L. Caporaso hold true up to d>4(2g-2) and we observe that this is sharp. In the range 2(2g-2)

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