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arXiv · 1401.6101

Toward GIT stability of syzygies of canonical curves

Anand Deopurkar·Maksym Fedorchuk·David Swinarski
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Abstract

We introduce the problem of GIT stability for syzygy points of canonical curves with a view toward a GIT construction of the canonical model of the moduli space of stable curves. As the first step in this direction, we prove semi-stability of the first syzygy point for a general canonical curve of odd genus.

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Anand Deopurkar, Maksym Fedorchuk, David Swinarski. 2014-02-24. Toward GIT stability of syzygies of canonical curves. https://doi.org/10.14231/ag-2016-001

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