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

Published 12 Dec 2019 in math.AG and cs.CG | (1912.05998v1)

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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