On Rees algebras of ideals and modules with weak residual conditions
Year: 2025
Type: article
Abstract: Let E be a module of projective dimension one over . If E is presented by a matrix φ with linear entries and the number of generators of E is bounded locally up to codimension , the Rees ring is well understood. In this paper, we study when this generation condition holds only up to codimension , for some . Moreover, we provide a generating set for the ideal defining this algebra by employing a method of successive approximations of the Rees ring. Although we employ techniques regarding Rees rings of modules, our findings recover and extend known results for Rees algebras of perfect ideals with grade two in the case that .
Source: Journal of Algebra
Authors: Alessandra Costantini, Edward F. Price, Matthew Weaver
Institutions: Tulane University, Colorado College, Arizona State University
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,310
OpenAlex ID: W4416392645