By Gilberto Bini, Filippo Viviani
We examine GIT quotients of polarized curves. extra in particular, we learn the GIT challenge for the Hilbert and Chow schemes of curves of measure d and genus g in a projective area of measurement d-g, as d decreases with recognize to g. We turn out that the 1st 3 values of d at which the GIT quotients swap are given by way of d=a(2g-2) the place a=2, 3.5, four. We exhibit that, for a>4, L. Caporaso's effects carry real for either Hilbert and Chow semistability. If 3.5
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