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arXiv · 1207.3230

On the Koszul cohomology of canonical and Prym-canonical binary curves

Elisabetta Colombo·Paola Frediani
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Abstract

In this paper we study Koszul cohomology and the Green and Prym-Green conjectures for canonical and Prym-canonical binary curves. We prove that if property $N_p$ holds for a canonical or a Prym-canonical binary curve of genus $g$ then it holds for a generic canonical or Prym-canonical binary curve of genus $g+1$. We also verify the Green and Prym-Green conjectures for generic canonical and Prym-canonical binary curves of low genus ($6\leq g\leq 15$, $g\neq 8$ for Prym-canonical and $3\leq g\leq 12$ for canonical).

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Elisabetta Colombo, Paola Frediani. 2013-03-04. On the Koszul cohomology of canonical and Prym-canonical binary curves. https://arxiv.org/abs/1207.3230

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