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arXiv · 1303.6002

On the syzygies of reducible curves

Ziv Ran
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Abstract

A theorem of Green says that a line bundle of degree at least $2g+1+p$ on a smooth curve $X$ of genus $g$ has property $N_p$. We prove a similar conclusion for certain singular, reducible curves $X$ under suitable degree bounds over all irreducible components of $X$.

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Ziv Ran. 2013-03-24. On the syzygies of reducible curves. https://arxiv.org/abs/1303.6002

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