[DOWNLOAD] "Geometric Invariant Theory for Polarized Curves" by Gilberto Bini, Fabio Felici, Margarida Melo & Filippo Viviani # Book PDF Kindle ePub Free

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eBook details

Title: Geometric Invariant Theory for Polarized Curves
Author : Gilberto Bini, Fabio Felici, Margarida Melo & Filippo Viviani
Release Date : January 07, 2014
Genre: Mathematics,Books,Science & Nature,
Pages : * pages
Size : 5822 KB

Description

We investigate GIT quotients of polarized curves. More specifically, we study the GIT problem for the Hilbert and Chow schemes of curves of degree d and genus g in a projective space of dimension d-g, as d decreases with respect to g. We prove that the first three values of d at which the GIT quotients change are given by d=a(2g-2) where a=2, 3.5, 4. We show that, for a>4, L. Caporaso's results hold true for both Hilbert and Chow semistability. If 3.5