Geometric Invariant Theory for Pola - E-book

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Geometric Invariant Theory For Polarized Curves - ENG

Gilberto Bini; Fabio Felici; Margarida Melo; Filippo Viviani

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Sinopsis

ISBN:	9783319113371
Formato:	ePub
Idioma:	Inglés
Editorial:	Springer Nature
Tema:	Matemáticas
Subtema:	Geometría algebraica
Año de publicación:	2014-11-07

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. Caporasos results hold true for both Hilbert and Chow semistability. If 3.5

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