Rahul Ajit

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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…