Oral 5: Isaac Martin – The number of torsion divisors in a strongly F-regular ring is bounded by the reciprocal of F-signature | Office of Undergraduate Research

Oral 5: Isaac Martin – The number of torsion divisors in a strongly F-regular ring is bounded by the reciprocal of F-signature

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Faculty mentor: Karl Schwede

Earlier in 2020, Polstra showed that the cardinality of the torsion subgroupof the divisor class group of a local stronglyF-regular ring is finite. We expand upon thisresult and prove that the reciprocal of theF-signature of a local stronglyF-regular ringRbounds the cardinality of the torsion subgroup of the divisor class group ofR, and provide a necessary and sufficient condition for equality.

Watch my research presentation below.
Questions or comments? Contact me at: isaac.act.martin@gmail.com

View my Presentation Slides HERE

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