arXiv subjects

M. Asakura

Publications and source records attributed to M. Asakura.

2 recordsLinked to original sources

arXiv2003

Estimate of dimension of Noether-Lefschetz locus for Beilinson-Hodge cycles on open complete intersections

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 methods in Hodge theory.

math.AG↗

arXiv2003

Components of maximal dimension in the Noether-Lefschetz locus for Beilinson-Hodge cycles on open surfaces

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 $\Bbb P^3$. We give an analogue of the result by M.Green and C.Voisin on the maximal components in the Noether-Lefschetz locus.

math.AG↗