14 citations · 31 across the 11 of their papers we have counts for
4 papers · 1 filter
Nonvanishing of External Products for Higher Chow Groups
Andreas Rosenschon, Morihiko Saito
Consider an external product of a higher cycle and a usual cycle which is algebraically equivalent to zero. Assume there exists an algebraically closed subfield k such that the hig…
On Mildenhall's Theorem
Morihiko Saito
We show that Mildenhall's theorem implies that the indecomposable higher Chow group of a self-product of an elliptic curve over the complex number field is infinite dimensional, if…
Cycle Map for Strictly Decomposable Cycles
Andreas Rosenschon, Morihiko Saito
We introduce a class of cycles, called nondegenerate, strictly decomposable cycles, and show that the image of each cycle in this class under the refined cycle map to an extension…
Refined Cycle Maps
Morihiko Saito
We explain the theory of refined cycle maps associated to arithmetic mixed sheaves. This includes the case of arithmetic mixed Hodge structures, and is closely related to work of A…