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Geometric Invariant Theory for Polarized Curves

Geometric Invariant Theory for Polarized Curves - Lecture Notes in Mathematics

2014

Paperback (19 Nov 2014)

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    Publisher's Synopsis

    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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    Book information

    ISBN: 9783319113364
    Publisher: Springer International Publishing
    Imprint: Springer
    Pub date:
    Edition: 2014
    DEWEY: 516.35
    DEWEY edition: 23
    Language: English
    Number of pages: 211
    Weight: 349g
    Height: 235mm
    Width: 155mm
    Spine width: 12mm

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