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Original Articles

A Version of Green’s Conjecture in Positive Characteristic

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Abstract

Based on computer algebra 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 g15 over arbitrary small finite fields.

MATHEMATICS SUBJECT CLASSIFICATION:

Acknowledgments

We would like to thank Mike Stillman for valuable Macaulay2 advices. This work is a contribution to Project 1.7 of the SFB-TRR 195 “Symbolic Tools in Mathematics and their Application” of the German Research Foundation (DFG).

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