Download E-books Geometric Invariant Theory for Polarized Curves (Lecture Notes in Mathematics) PDF

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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