4 papers · 1 filter
Duality and the equations of Rees rings and tangent algebras
Matthew Weaver
Let be a module of projective dimension one over a Noetherian ring and consider its Rees algebra . We study this ring as a quotient of the symmetric algebra…
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…
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…
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…