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.
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