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A version of Green's conjecture in positive characteristic

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arxiv 1803.10481 v1 pith:DEOIDUKS submitted 2018-03-28 math.AG

Christian Bopp , Frank-Olaf Schreyer This is my paper · ORCID
classification math.AG
keywords conjecturecharacteristicexperimentsgreenpositiveversionarbitrarycanonically
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abstract

Based on computeralgebra experiments we formulate a refined version of Green's conjecture and a conjecture of Schicho-Schreyer-Weimann which conjecturally also holds in positive characteristic. The experiments are done by using our Macaulay2 package, which constructs random canonically embedded curves of genus $g\leq 15$ over arbitrary small finite fields.

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  1. The Geometric Syzygy Conjecture in Positive Characteristic

    math.AG 2025-08 conditional novelty 7.0 of 10

    The Geometric Syzygy Conjecture holds for general canonical curves over algebraically closed fields of characteristic at least 2g-4.

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