2 citations · 3 across the 7 of their papers we have counts for
7 papers
A construction of tame sheaves and tame de Rham--Witt cohomology
Alberto Merici, Kay Rülling, Shuji Saito
In this article, we consider an algebraic version of the tame site of a pair . With this definition, we provide a general machinery to construct a tame sheaf fro…
Birational and -invariant lattices in the cohomology of the structure sheaf over non-archimedean fields
Alberto Merici, Kay Rülling, Shuji Saito
We show that the cohomology of the structure sheaf of smooth and proper schemes over a complete non-archimedean field of characteristic zero, can be refined to an $\mathbf{A}^1…
Duality for Hodge-Witt cohomology with modulus
Fei Ren, Kay Rülling
Given an effective Cartier divisor D with simple normal crossing support on a smooth and proper scheme X over a perfect field of positive characteristic p, there is a natural notio…
Ramification theory for reciprocity sheaves, III, Abbes-Saito formula
Kay Rülling, Shuji Saito
We give a new geometric characterization of the motivic ramification filtration of reciprocity sheaves, by imitating a method used by Abbes and (Takeshi) Saito to study the ramific…
Grauert-Riemenschneider Vanishing via modulus sheaves with transfers
Kay Rülling
We observe that the classical Grauert-Riemenschneider Vanishing Theorem is a direct consequence of basic results from the theory of modulus sheaves with transfers as developed by K…
Hodge-Witt cohomology and Witt-rational singularities
Andre Chatzistamatiou, Kay Rülling
We prove the vanishing modulo torsion of the higher direct images of the sheaf of Witt vectors (and the Witt canonical sheaf) for a purely inseparable projective alteration between…
Additive Chow groups with higher modulus and the generalized de Rham-Witt complex
Kay Rülling
Bloch and Esnault defined additive higher Chow groups with modulus (m+1) on the level of zero cycles over a field k, denoted by TH^n(k,n;m), n,m >0. They prove that TH^n(k,n;1) is…