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

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

Algebraic Geometry 2019-12-13 v1 Computational Geometry

Authors: 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 $11$ .

Keywords

algebraic curves conjectures and proofs

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@article{arxiv.1912.05998,
  title  = {Examples relating to Green's conjecture in low characteristics and genera},
  author = {Topik Teguh Estu and Mee Seong Im and Benjamin Manning and Zachary Michaels and Joseph Pasko and William Rulla and Nishan Wijesinghe},
  journal= {arXiv preprint arXiv:1912.05998},
  year   = {2019}
}

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15 pages

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

Abstract

Keywords

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