Geometric Invariant Theory for Polarized Curves (Lecture Notes in Mathematics Book 2122) 2014th Edition by Gilberto Bini (PDF)

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    Ebook Info

    • Published: 2014
    • Number of pages: 221 pages
    • Format: PDF
    • File Size: 3.37 MB
    • Authors: Gilberto Bini

    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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