72 citations · 414 across the 41 of their papers we have counts for
5 papers · 1 filter
Étale fundamental groups of strongly -regular schemes
Bhargav Bhatt, Javier Carvajal-Rojas, Patrick Graf +2
We prove that a strongly -regular scheme admits a finite, generically Galois, and étale-in-codimension-one cover such that the étale fundamental groups…
On the direct summand conjecture and its derived variant
Bhargav Bhatt
André recently gave a beautiful proof of Hochster's direct summand conjecture in commutative algebra using perfectoid spaces; his two main results are a generalization of the almos…
Specializing varieties and their cohomology from characteristic to characteristic
Bhargav Bhatt
We present a semicontinuity result, proven in recent joint work with Morrow and Scholze, relating the mod singular cohomology of a smooth projective complex algebraic variety X…
Stabilization of the cohomology of thickenings
Bhargav Bhatt, Manuel Blickle, Gennady Lyubeznik +2
For a local complete intersection subvariety in over a field of characteristic zero, we show that, in cohomological degrees smaller than the cod…
Integral p-adic Hodge theory
Bhargav Bhatt, Matthew Morrow, Peter Scholze
We construct a new cohomology theory for proper smooth (formal) schemes over the ring of integers of C_p. It takes values in a mixed-characteristic analogue of Dieudonne modules, w…