17 citations · 30 across the 12 of their papers we have counts for
6 papers · 1 filter
Equi-dimensionalization via subdivision of simplices
Wataru Kai
We give an alternative proof of Suslin's equi-dimensionalization moving lemma using a different geometric construction. The new construction provides better control of the degrees…
Unramified logarithmic Hodge-Witt cohomology and -invariance
Wataru Kai, Shusuke Otabe, Takao Yamazaki
Let be a smooth proper variety over a field and suppose that the degree map is isomorphic for any field extension . We sh…
Suslin's moving lemma with modulus
Wataru Kai, Hiroyasu Miyazaki
The moving lemma of Suslin states that a cycle on meeting all faces properly can be moved so that it becomes equidimensional over . This leads…
A moving lemma for algebraic cycles with modulus and contravariance
Wataru Kai
We prove a moving lemma which implies the contravariance of Bloch-Esnault's additive higher Chow group in smooth affine varieties and Binda-Saito's higher Chow group (taken in the…
Torsion and divisibility for reciprocity sheaves and 0-cycles with modulus
Federico Binda, Jin Cao, Wataru Kai +1
The notion of modulus is a striking feature of Rosenlicht-Serre's theory of generalized Jacobian varieties of curves. It was carried over to algebraic cycles on general varieties b…
Notes on a p-adic exponential map for the Picard group
Wataru Kai
Part of these notes was written as the author's 2013 master thesis. For proper flat schemes over a complete discrete valuation ring of mixed characteristic, we construct an isomorp…