A Noether-Lefschetz theorem for varieties of r-planes in complete intersections

DOI10.1215/00277630-1548484zbMath1256.14006arXiv1010.5210OpenAlexW1572676841MaRDI QIDQ2894134

Zhi Jiang

Publication date: 28 June 2012

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1010.5210

zbMATH Keywords

complete intersectionPicard numberFano schemecubic fivefold

Mathematics Subject Classification ID

Structure of families (Picard-Lefschetz, monodromy, etc.) (14D05) Variation of Hodge structures (algebro-geometric aspects) (14D07) Picard groups (14C22)

Related Items (4)

On the Fano variety of linear spaces contained in two odd-dimensional quadrics ⋮ Rank 2 quasiparabolic vector bundles on \(\mathbb P^1\) and the variety of linear subspaces contained in two odd-dimensional quadrics ⋮ Varieties of planes on intersections of three quadrics ⋮ On Fano Schemes of Complete Intersections

Cites Work

• Base number theorem for abelian varieties
• Homogeneous vector bundles
• Deforming varieties of k-planes of projective complete intersections
• Fano-varieties of lines on hypersurfaces
• On the variety of linear spaces contained in a complete intersection
• Chow groups of projective varieties of very small degree
• On the projective geometry of rational homogeneous varieties
• Coniveau 2 complete intersections and effective cones
• Elliptic curve configurations on Fano surfaces
• On the restriction of holomorphic forms
• The intermediate Jacobian of the cubic threefold
• Geometric realization of PRV components and the Littlewood-Richardson cone
• Cubic hypersurfaces and integrable systems
• Noether-Lefschetz problems for degeneracy loci
• Mixed Hodge Structures
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