Rankeya Datta

activity

20122026

most citedExcellence, F-singularities, and solidity

3 citations · 3 across the 6 of their papers we have counts for

collaborators

Showing 2020Show all

2 papers · 1 filter

math.AC2020★ 3 cited

Excellence, F-singularities, and solidity

Rankeya Datta, Takumi Murayama, Karen E. Smith

An $R$ -algebra $S$ is $R$ -solid if there exists a nonzero $R$ -linear map $S \to R$ . In characteristic $p$ , the study of $F$ -singularities such as Frobenius splittings impli…

math.AG2020

Valuation rings are derived splinters

Benjamin Antieau, Rankeya Datta

We give three proofs that valuation rings are derived splinters: a geometric proof using the absolute integral closure, a homological proof which reduces the problem to checking th…