Archivio istituzionale della ricerca dell'Università degli Studi di Palermo
IRIS è il sistema di gestione integrata dei dati della ricerca (persone, pubblicazioni, progetti, attività) adottato dall’Università di Palermo, e ha lo scopo di raccogliere, conservare, documentare, e diffondere ad accesso aperto le informazioni relative alla produzione scientifica degli autori afferenti all’Ateneo.
EnglishThe 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.
G. Bini, M. Melo, & F. Viviani (2012). On GIT quotients of Hilbert and Chow schemes of curves, 19, 33-40 [10.3934/era.2012.19.33].
| Data di pubblicazione: | 2012 | |
| Titolo: | On GIT quotients of Hilbert and Chow schemes of curves | |
| Autori: | ||
| Citazione: | G. Bini, M. Melo, & F. Viviani (2012). On GIT quotients of Hilbert and Chow schemes of curves, 19, 33-40 [10.3934/era.2012.19.33]. | |
| 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:
| File | Descrizione | Tipologia | Licenza | |
|---|---|---|---|---|
| 1507.06476.pdf | Pre-print | Open Access Visualizza/Apri |
http://hdl.handle.net/10447/398173
Copyright © 2022