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Green's Conjecture for the generic canonical curve

Montserrat Teixidor-I-Bigas
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Abstract

Green's Conjecture states the following : syzygies of the canonical model of a curve are simple up to the p^th stage if and only if the Clifford index of C is greater than p. We prove that the generic curve of genus g satisfies Green's conjecture.

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Montserrat Teixidor-I-Bigas. 1998-06-04. Green's Conjecture for the generic canonical curve. https://arxiv.org/abs/math/9806017

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