Shravan Patankar

activity

20212026

most citedCoherence of absolute integral closures

4 citations · 5 across the 3 of their papers we have counts for

collaborators

3 papers

math.AC2026

Remarks on some Homological Problems regarding Infinite Integral Extensions

Mohsen Asgharzadeh, Shravan Patankar

Let $R$ be an excellent local domain. $R$ is said to be $N B I M$ if $T o r_{i}^{R} (R^{+}, k) = 0$ for some $i \geq d := dim (R)$ . Bhatt, Iyengar, and Ma ask if equi-characteristic zero $N…

math.AC2022★ 1 cited

Vanishing of Tors of absolute integral closures in equicharacteristic zero

Shravan Patankar

We show that a ring $R$ is regular if $T o r_{i}^{R} (R^{+}, k) = 0$ for some $i \geq 1$ assuming further that $R$ is a $N$ -graded ring of dimension $2$ finitely generated over…

math.AC2021★ 4 cited

Coherence of absolute integral closures

Shravan Patankar

We prove that the absolute integral closure $R^{+}$ of an equicharacteristic zero noetherian complete local domain $R$ is not coherent, provided $dim (R) \geq 2$ . As a corollary, we…