3 papers
math.AC2023
On Rees algebras of linearly presented ideals and modules
Alessandra Costantini, Edward F. Price, Matthew Weaver
Let be a perfect ideal of height two in and let denote its Hilbert-Burch matrix. When has linear entries, the algebraic structure of the Rees al…
math.AC2023
The equations of Rees algebras of height three Gorenstein ideals in hypersurface rings
Matthew Weaver
We study the Rees algebra of a perfect Gorenstein ideal of codimension 3 in a hypersurface ring. We provide a minimal generating set of the defining ideal of these rings by introdu…
math.AC2021
On Rees algebras of ideals and modules over hypersurface rings
Matthew Weaver
The acquisition of the defining equations of Rees algebras is a natural way to study these algebras and allows certain invariants and properties to be deduced. In this paper, we co…