EAN: 9783319113364

GEOMETRIC INVARIANT THEORY FOR POLARIZED CURVES...

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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