72 citations · 414 across the 41 of their papers we have counts for
5 papers · 2 filters
Completions and derived de Rham cohomology
Bhargav Bhatt
We show that Illusie's derived de Rham cohomology (Hodge-completed) coincides with Hartshorne's algebraic de Rham cohomology for a finite type map of noetherian schemes in characte…
Moduli of products of stable varieties
Bhargav Bhatt, Wei Ho, Zsolt Patakfalvi +1
We study the moduli space of a product of stable varieties over the field of complex numbers, as defined via the minimal model program. Our main results are: (a) taking products gi…
Torsion in the crystalline cohomology of singular varieties
Bhargav Bhatt
This note discusses some examples showing that the crystalline cohomology of even very mildly singular projective varieties tends to be quite large. In particular, any singular pro…
p-adic derived de Rham cohomology
Bhargav Bhatt
This paper studies the derived de Rham cohomology of F_p and p-adic schemes, and is inspired by Beilinson's recent work. Generalising work of Illusie, we construct a natural isomor…
p-divisibility for coherent cohomology
Bhargav Bhatt
We prove that the coherent cohomology of a proper morphism of noetherian schemes can be made arbitrarily p-divisible by passage to proper covers (for a fixed prime p). Under some e…