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math.AG1999
Motives and algebraic de rham cohomology
Masanori Asakura
In this paper, we define a certain Hodge-theoretic structure for an arbitrary variety X over the complex number field by using the theory of mixed Hodge module due to Morihiko Sait…
math.AG1999
Arithmetic Hodge structure and higher Abel-Jacobi maps
Masanori Asakura
In this paper, we show some applications to algebraic cycles by using higher Abel-Jacobi maps which were defined in [the author: Motives and algebraic de Rham cohomology]. In parti…