Vetenskap & teknik
Pocket
Geometric Invariant Theory for Polarized Curves
Gilberto Bini • Fabio Felici • Margarida Melo • Filippo Viviani
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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
- Illustratör: Bibliographie
- Format: Pocket/Paperback
- ISBN: 9783319113364
- Språk: Engelska
- Antal sidor: 211
- Utgivningsdatum: 2014-11-19
- Förlag: Springer International Publishing AG