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arXiv · 1111.5339

Stability of 2nd Hilbert points of canonical curves

Maksym Fedorchuk·David Jensen
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Abstract

We establish GIT semistability of the 2nd Hilbert point of every Gieseker-Petri general canonical curve by a simple geometric argument. As a consequence, we obtain an upper bound on slopes of general families of Gorenstein curves. We also explore the question of what replaces hyperelliptic curves in the GIT quotients of the Hilbert scheme of canonical curves.

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Maksym Fedorchuk, David Jensen. 2011-11-22. Stability of 2nd Hilbert points of canonical curves. https://arxiv.org/abs/1111.5339

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