Geometric Invariant Theory for Polarized Curves
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Beschreibung
Details
Einband
Taschenbuch
Erscheinungsdatum
19.11.2014
Verlag
SpringerSeitenzahl
211
Maße (L/B/H)
23.5/15.5/1.3 cm
Gewicht
347 g
Auflage
2014
Sprache
Englisch
ISBN
978-3-319-11336-4
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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