Geometric Invariant Theory for Polarized Curves (Paperback, 2014 ed.)

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

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Lecture Notes in Mathematics, 2122
Release date:	November 2014
First published:	2014
Authors:	Gilberto Bini • Fabio Felici • Margarida Melo • Filippo Viviani
Dimensions:	235 x 155 x 12mm (L x W x T)
Format:	Paperback
Pages:	211
Edition:	2014 ed.
ISBN-13:	978-3-319-11336-4
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry
LSN:	3-319-11336-4
Barcode:	9783319113364

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