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.

SFX


Data di pubblicazione: 2012
Titolo: On GIT quotients of Hilbert and Chow schemes of curves
Autori: 
Bini, Gilberto
mostra contributor esterni 
Citazione: G. Bini, M. Melo, & F. Viviani (2012). On GIT quotients of Hilbert and Chow schemes of curves, 19, 33-40.
Digital Object Identifier (DOI): http://dx.doi.org/10.3934/era.2012.19.33
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.
URL: http://arxiv.org/abs/1109.3645v2
Settore Scientifico Disciplinare: Settore MAT/03 - Geometria
Appare nelle tipologie:1.01 Articolo in rivista

File in questo prodotto:
FileDescrizioneTipologiaLicenza 
1507.06476.pdf Pre-printOpen Access Visualizza/Apri
Utilizza questo identificativo per citare o creare un link a questo documento:
http://hdl.handle.net/10447/398173
  • Citazioni
  • ND

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
 
 
 
Powered by IRIS-about IRIS-Utilizzo dei cookie
Logo CINECA  Copyright © 2020