ENGLISH

Geometric Invariant Theory for Polarized Curves

By Gilberto Bini , Filippo Viviani (auth.) , Fabio Felici , Margarida Melo

Book information

Publisher
Springer International Publishing
Year
2014
ISBN
978-3-319-11336-4, 978-3-319-11337-1
DOI
10.1007/978-3-319-11337-1
Language
english
Format
PDF
Filesize
3 MB (3534727 bytes)
Series
Lecture Notes in Mathematics 2122
Edition
1
Pages
211\217
Time added
2015-02-17 02:00:00
Algebraic Geometry

Description

We investigate GIT quotients of polarized curves. More specifically, we study the GIT problem for the Hilbert and Chow schemes of curves of degree d and genus g in a projective space of dimension d-g, as d decreases with respect to g. We prove that the first three values of d at which the GIT quotients change are given by d=a(2g-2) where a=2, 3.5, 4. We show that, for a>4, L. Caporaso's results hold true for both Hilbert and Chow semistability. If 3.5

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