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

2003/04/07 by Masanori Asakura, M. Asakura, S. Saito +3
Mathematics · #14C30 #19E #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Mathematical Dynamics and Fractals #math.AG #msc:14C30 #msc:19E

paper · pdf · doi:10.48550/arxiv.math/0304089

arxiv created 2003/04/07 · openalex publication_date 2003/04/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 P³. We give an analogue of the result by M.Green and C.Voisin on the maximal components in the Noether-Lefschetz locus.

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