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2022 Canonical Modules and Class Groups of Rees-Like Algebras
Paolo Mantero, Jason McCullough, Lance Edward Miller
Michigan Math. J. Advance Publication 1-21 (2022). DOI: 10.1307/mmj/20205974

Abstract

Rees-like algebras have played a major role in settling the Eisenbud–Goto conjecture. This paper concerns the structure of the canonical module of the Rees-like algebra and its class groups. Via an explicit computation based on linkage, we provide an explicit and surprisingly well-structured resolution of the canonical module in terms of a type of double-Koszul complex. Additionally, we give descriptions of both the divisor class group and the Picard group of a Rees-like algebra.

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Paolo Mantero. Jason McCullough. Lance Edward Miller. "Canonical Modules and Class Groups of Rees-Like Algebras." Michigan Math. J. Advance Publication 1 - 21, 2022. https://doi.org/10.1307/mmj/20205974

Information

Received: 26 August 2020; Revised: 22 June 2021; Published: 2022
First available in Project Euclid: 2 June 2022

Digital Object Identifier: 10.1307/mmj/20205974

Subjects:
Primary: 13D02 , 14B05

Rights: Copyright © 2022 The University of Michigan

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