On GIT quotients of Hilbert and Chow schemes of curves
- Autori: G. Bini; M. Melo; F. Viviani
- Anno di pubblicazione: 2012
- Tipologia: Articolo in rivista
- Parole Chiave: Chow scheme; Compactified universal Jacobian; GIT; Hilbert scheme; Pseudo-stable curves; Stable curves
- OA Link: http://hdl.handle.net/10447/398173
Abstract
The aim of this note is to announce some results on the GIT problem for the Hilbert and Chow scheme of curves of degree d and genus g in P^d-g, whose full details will appear in a subsequent paper. In particular, we extend the previous results of L. Caporaso up to d>4(2g-2) and we observe that this is sharp. In the range 2(2g-2)<7/2(2g-2), we get a complete new description of the GIT quotient. As a corollary, we get a new compactification of the universal Jacobian over the moduli space of pseudo-stable curves.