Geometric Invariant Theory for Polarized Curves E-Book

Gilberto Bini

• Herausgeber: Springer International Publishing
• Kategorie: Wissenschaft und neue Technologien
• Serie: Lecture Notes in Mathematics
• Sprache: Englisch

Veröffentlichungsjahr: 2014

Beschreibung

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