21 citations · 38 across the 12 of their papers we have counts for
15 papers
-crystals and -connections
Andre Chatzistamatiou
We study how the category of -connections depends on the choice of coordinates. We exploit Bhatt's and Scholze's -crystalline site, which is based on a coordinate free formul…
Torsion orders of complete intersections
Andre Chatzistamatiou, Marc Levine
By a classical result of Roitman, a complete intersection of sufficiently small degree admits a rational decomposition of the diagonal. This means that some multiple of the dia…
On integrality of -adic iterated integrals
Andre Chatzistamatiou
The purpose of this paper is to prove integrality for certain -adic iterated Coleman integrals. As underlying geometry we will take the complement of a divisor with…
Vanishing of the higher direct images of the structure sheaf
Andre Chatzistamatiou, Kay Rülling
We prove that the higher direct images of the structure sheaf under a birational and projective morphism between excellent and regular schemes vanish.
Big de Rham-Witt cohomology: basic results
Andre Chatzistamatiou
Let be a smooth projective -scheme, where is a smooth -algebra. As constructed by Hesselholt, we have the absolute big de Rham-Witt complex $\WΩ^*_X$ of at our d…
Commutative formal groups arising from schemes
Andre Chatzistamatiou
We prove the following criterion for the pro-representability of the deformation cohomology of a commutative formal Lie group. Let f be a flat and separated morphism between noethe…