| 研究実績の概要 |
We tried to understand the Hodge realization of mixed motives. We constructed certain complexes of topological chains on complex varieties which we call
the complex of admissible chains. This complex admit restriction to smooth divisors, and have duality pairing with differential forms with logarithmic singularities. Via this complex we could construct a simple Hodge realization functor of mixed Tate motives. We also gave a description of the relative cohomology groups of a smooth complex varieties with respect to a normal crossing divisor, and the duality pairing with the corresponding de Rham cohomology groups. We gave a description of the Abel-Jacobi map for higher chow groups
|
