The number of torsion divisors in a strongly F-regular ring is bounded by the reciprocal of F-signature. Issue 4 (3rd April 2022)

• Record Type: Journal Article
• Authors: Martin, I.
• Is Part Of: Communications in algebra. Volume 50:Issue 4(2022)
• Page Start: 1595
• Page End: 1605
• Publication Date: 2022-04-03
• Subjects: F-signature -- F-singularity -- divisor -- commutative algebra -- algebraic geometry; 13A35; 14B05; Algebra -- Periodicals; 512.005
• DOI: 10.1080/00927872.2021.1986057
• Languages: English
• ISSNs: 0092-7872

Abstract

Abstract: Polstra showed that the cardinality of the torsion subgroup of the divisor class group of a local strongly F -regular ring is finite. We expand upon this result and prove that the reciprocal of the F -signature of a local strongly F -regular ring R bounds the cardinality of the torsion subgroup of the divisor class group of R .