Year: 2025
Type: article
Abstract: Let (R,m,k) be a regular local ring of dimension 3. Let I be a Gorenstein ideal of R of grade 3. It follows from a result of Buchsbaum and Eisenbud that there is a skew-symmetric matrix of odd size such that I is generated by the sub-maximal pfaffians of this matrix. Let J be the ideal obtained by multiplying some of the pfaffian generators of I by m; we say that J is a trimming of I. In a previous work, the first author and A. Hardesty constructed an explicit free resolution of R/J and computed a DG algebra structure on this resolution. They utilized these products to analyze the Tor algebra of such trimmed ideals. Missing from their result was the case where I is five generated. In this paper we address this case.
Source: Communications in Algebra
Authors: Luigi Ferraro, W. Frank Moore
Institutions: The University of Texas at Austin, Wake Forest University
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4409648393