1 citations · 1 across the 7 of their papers we have counts for
7 papers
Tensor product surfaces and graded syzygies
Matthew Weaver
Let be a four-dimensional vector space and consider the rational map $ϕ_U:\,\mathbb{P}^1\times \mathbb{P}^1 \da…
Translational surfaces and iterated resultants
Matthew Weaver
A translational surface is a tensor product surface constructed from two space curves by translating one along the other. These surfaces are common within geometric modeling and, s…
On Rees algebras and de Jonquières transformations
Matthew Weaver
We recall a higher dimension analog of the classic plane de Jonquières transformations, as given by Hassanzadeh and Simis. Such a parameterization defines a birational map from $\m…
Blowups of hypersurfaces
Matthew Weaver
A classical result of Micali asserts that a Noetherian local ring is regular if and only if the Rees algebra of its maximal ideal is defined by an ideal of linear forms. In this ca…
Tensor product surfaces and quadratic syzygies
Matthew Weaver
For a four-dimensional vector space, a basis of defines a rational map $ϕ_U:\,\mathbb…
On Rees algebras of ideals and modules with weak residual conditions
Alessandra Costantini, Edward F. Price, Matthew Weaver
Let be a module of projective dimension one over . If is presented by a matrix with linear entries and the number of generators of is bounded l…
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…