By Gilberto Bini,Fabio Felici,Margarida Melo,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 size d-g, as d decreases with appreciate to g. We end up that the 1st 3 values of d at which the GIT quotients swap are given by means of d=a(2g-2) the place a=2, 3.5, four. We exhibit that, for a>4, L. Caporaso's effects carry actual for either Hilbert and Chow semistability. If 3.5
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Extra resources for Geometric Invariant Theory for Polarized Curves (Lecture Notes in Mathematics)
Geometric Invariant Theory for Polarized Curves (Lecture Notes in Mathematics) by Gilberto Bini,Fabio Felici,Margarida Melo,Filippo Viviani