On GIT quotients of Hilbert and Chow schemes of curves

Details On GIT quotients of Hilbert and Chow schemes of curves On GIT quotients of Hilbert and Chow schemes of curves

2011-09-16

arxiv.org/abs/1109.3645v2

Electron. Res. Announc. Math. Sci. 19 (2012), 33--40

Mathematics

Algebraic Geometry

8 pages, final version, to appear in Electron. Res. Announc. Math. Sci

Scientific paper

10.3934/era.2012.19.33

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)

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