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arXiv · 1912.05998

Examples relating to Green's conjecture in low characteristics and genera

Topik Teguh Estu·Mee Seong Im·Benjamin Manning·Zachary Michaels·Joseph Pasko·William Rulla·Nishan Wijesinghe
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Abstract

We exhibit approximately fifty Betti diagrams of free resolutions of rings of smooth, connected canonical curves of genera $9$-$14$ in prime characteristics between $2$ and $11$. Generic Green's conjecture is verified for genera $9$ and $10$ for characteristics $2$, $5$, $7$, and $11$.

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Topik Teguh Estu, Mee Seong Im, Benjamin Manning, Zachary Michaels, Joseph Pasko, William Rulla, Nishan Wijesinghe. 2019-12-12. Examples relating to Green's conjecture in low characteristics and genera. https://arxiv.org/abs/1912.05998

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