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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.
| 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. |
| 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
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