EAN: 9783319113364

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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

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03.05.2025 um 00:14 Uhr

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