3 citations · 3 across the 3 of their papers we have counts for
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Murre's conjectures for certain product varieties
Kenichiro Kimura
We consider Murre's conjectures on Chow groups for a fourfold which is a product of two curves and a surface. We give a result which concerns Conjecture D:the kernel of a certain p…
A rational map between two threefolds
Kenichiro Kimura
A rational map between certain specific threefolds is given in an explicit manner.
Zero-cycles on self-product of modular curves
Kenichiro Kimura
We use the elements in -cohomology groups which are constructed by Flach and Mildenhall to obtain a finiteness result for the torsion part of the Chow group of a self-product of…
On of a self-product of a curve
Kenichiro Kimura
We present elements of $H^1(C\ti C, K_2)$ for certain specific curves C.The image of the element under the boundary map arising from the localization sequence of K-theory is the gr…
Elliptic units in
Kenichiro Kimura
We present certain norm-compatible systems in of function fields of some CM elliptic curves. We demonstrate that these systems have some properties similar to elliptic units.
Euler systems of K_2 of CM elliptic curves
Kenichiro Kimura
We construct certain systems of elements in K_2 of CM elliptic curves. When the classnumber of the field of CM is 1, the image of this system under the regulator map forms an Euler…