72 citations · 414 across the 41 of their papers we have counts for
5 papers · 1 filter
Crystalline cohomology and de Rham cohomology
Bhargav Bhatt, Aise Johan de Jong
The goal of this short paper is to give a slightly different perspective on the comparison between crystalline cohomology and de Rham cohomology. Most notably, we reprove Berthelot…
Annihilating the cohomology of group schemes
Bhargav Bhatt
Our goal in this note is to show that cohomology classes with coefficients in finite flat group schemes can be killed by finite covers of the base scheme, and similarly for abelian…
Almost direct summands
Bhargav Bhatt
In this short note, we point out how some new cases of Hochster's direct summand conjecture can be deduced from fundamental theorems in p-adic Hodge theory due to Faltings. The cas…
Derived splinters in positive characteristic
Bhargav Bhatt
This paper introduces the notion of a derived splinter. Roughly speaking, a scheme is a derived splinter if it splits off from the coherent cohomology of any proper cover. Over a f…
Log canonical thresholds, F-pure thresholds, and non-standard extensions
Bhargav Bhatt, Daniel J. Hernandez, Lance E. Miller +1
We present a new relation between an invariant of singularities in characteristic zero (the log canonical threshold) and an invariant of singularities defined via the Frobenius mor…