Geometric Invariant Theory for Polarized Curves

Nonfiction, Science & Nature, Mathematics, Geometry
Cover of the book Geometric Invariant Theory for Polarized Curves by Gilberto Bini, Fabio Felici, Margarida Melo, Filippo Viviani, Springer International Publishing
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Author: Gilberto Bini, Fabio Felici, Margarida Melo, Filippo Viviani ISBN: 9783319113371
Publisher: Springer International Publishing Publication: November 7, 2014
Imprint: Springer Language: English
Author: Gilberto Bini, Fabio Felici, Margarida Melo, Filippo Viviani
ISBN: 9783319113371
Publisher: Springer International Publishing
Publication: November 7, 2014
Imprint: Springer
Language: English

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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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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