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 house of size d-g, as d decreases with admire to g. We turn out that the 1st 3 values of d at which the GIT quotients switch are given via d=a(2g-2) the place a=2, 3.5, four. We convey that, for a>4, L. Caporaso's effects carry precise for either Hilbert and Chow semistability. If 3.5

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