On GIT quotients of Hilbert and Chow schemes of curves

Gilberto Bini, Filippo Viviani, Margarida Melo, Gilberto Bini

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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.
Lingua originaleEnglish
pagine (da-a)33-40
Numero di pagine8
RivistaDefault journal
Volume19
Stato di pubblicazionePublished - 2012

All Science Journal Classification (ASJC) codes

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