Libro Geometric Invariant Theory for Polarized Curves (Lecture Notes in Mathematics) De Gilberto Bini; Fabio Felici; Margarida Melo

portada Geometric Invariant Theory for Polarized Curves (Lecture Notes in Mathematics)

Formato

Libro Físico

Editorial

Springer

Autor

Gilberto Bini; Fabio Felici; Margarida Melo

Año

2014

Idioma

Inglés

N° páginas

226

Encuadernación

Tapa Blanda

ISBN13

9783319113364

N° edición

2014

Categorías

Geometría algebraica

Geometric Invariant Theory for Polarized Curves (Lecture Notes in Mathematics)

Gilberto Bini; Fabio Felici; Margarida Melo (Autor) · Springer · Tapa Blanda

Sin Stock

Reseña del libro "Geometric Invariant Theory for Polarized Curves (Lecture Notes in Mathematics)"

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