72 citations · 414 across the 41 of their papers we have counts for
42 papers · 1 filter
Sheared Witt Vectors
Bhargav Bhatt, Akhil Mathew, Vadim Vologodsky
V. Drinfeld and E. Lau introduced a ``decompletion'' of the ring of -typical Witt vectors, following earlier work of T. Zink. The goal of this paper is to offer an exposition of…
Vanishing of cohomology in infinitely ramified towers
Bhargav Bhatt
We give a new proof of vanishing result of Esnault for the cohomology of constructible sheaves in the tower of ``mock'' Frobenius covers of projective space. The key idea is to use…
-finite schemes have a dualizing complex
Bhargav Bhatt, Manuel Blickle, Karl Schwede +1
In this paper we show that any Noetherian -finite scheme has a dualizing complex with the property that for all finite type maps between …
Applications of perverse sheaves in commutative algebra
Bhargav Bhatt, Manuel Blickle, Gennady Lyubeznik +2
The goal of this paper is to explain how basic properties of perverse sheaves sometimes translate via Riemann-Hilbert correspondences (in both characteristic and characteristic…
Frobenius on the cohomology of thickenings
Bhargav Bhatt, Manuel Blickle, Gennady Lyubeznik +2
We investigate the injectivity of the Frobenius map on thickenings of smooth varieties in projective space over a field of positive characteristic. We obtain uniform bounds -- i.e.…
Syntomic complexes and -adic étale Tate twists
Bhargav Bhatt, Akhil Mathew
The primary goal of this paper is to identify syntomic complexes with the -adic étale Tate twists of Geisser--Schneider--Sato on regular -torsionfree schemes. Our methods app…