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Components of maximal dimension in the Noether-Lefschetz locus for Beilinson-Hodge cycles on open surfaces
M. Asakura, S. Saito
The main subject of study in this paper is the Noether-Lefschetz locus for Beilinson-Hodge cycles on the complement of the union of hyperplane sections in a surface in .…
Estimate of dimension of Noether-Lefschetz locus for Beilinson-Hodge cycles on open complete intersections
M. Asakura, S. Saito
We study an analogue of the Noether-Lefschetz theorem in the context of Beilinson's Hodge conjecture. We estimate the dimension of the Noether-Lefschetz locus by the infinitesimal…
Generalized Jacobian Rings for Open Complete Intersections
Masanori Asakura, Shuji Saito
In this paper, we develop the theory of Jacobian rings of open complete intersections, which mean a pair where is a smooth complete intersection in the projective space…
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…
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…