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

12/12/2019

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by   Topik Teguh Estu, et al.

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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.