21 citations · 38 across the 12 of their papers we have counts for
13 papers · 1 filter
-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…
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.
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…
On p-adic periods for mixed Tate motives over a number field
Andre Chatzistamatiou, Sinan Ünver
For a number field, we have a Tannaka category of mixed Tate motives at our disposal. We construct p-adic points of the associated Tannaka group by using p-adic Hodge theory. Exten…
On the Beilinson-Hodge conjecture for and rational varieties
Andre Chatzistamatiou
The Beilinson-Hodge conjecture asserts the surjectivity of the cycle map $$H^n_M(X,\Q(n)) \to {\rm Hom}_{MHS}(\Q(-n),H^n(X,\Q))$$ for all positive integers and every smooth com…