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math.AC2025
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…
math.AC2025
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…
math.AC2025
Tensor product surfaces and quadratic syzygies
Matthew Weaver
For a four-dimensional vector space, a basis of defines a rational map $ϕ_U:\,\mathbb…