Rahul Ajit

collaborators

3 papers

math.AG2025

On a Grauert-Riemenschneider vanishing theorem in dimension 3

Rahul Ajit

Suppose $R$ is an excellent ring of dimension $3$ and has rational singularities. Let $π : X ⟶ Spec R$ be a blow-up and $ϕ : W ⟶ X$ be any proje…

math.AG2025

Multiplier Modules of extended Rees algebras

Rahul Ajit

Given a local ring $(R, m)$ and an ideal $a$ of positive height, we give a way of computing multiplier module $J (ω_{T}, t^{- λ})$ for the extended Rees algeb…

math.AC2025

Test Modules of Extended Rees Algebras

Rahul Ajit, Hunter Simper

Given a reduced, local ring $R$ and an ideal $a$ of positive height, we give a decomposition of the test module, $τ (ω_{T}, t^{- λ})$ , of the extended Rees algebra, $T =R[\m…