Unobstructedness of filling secants and the Gruson-Peskine general projection theorem

DOI10.1215/00127094-2881483zbMath1315.14068arXiv1302.0824OpenAlexW2090010300MaRDI QIDQ2342123

Ziv Ran

Publication date: 8 May 2015

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

Full work available at URL: https://arxiv.org/abs/1302.0824

zbMATH Keywords

rational curvesgeneric projectionsmultiple pointssecants

Mathematics Subject Classification ID

Projective techniques in algebraic geometry (14N05)

Related Items (6)

Le Potier's strange duality, quot schemes, and multiple point formulas for del Pezzo surfaces ⋮ Low-degree rational curves on hypersurfaces in projective spaces and their fan degenerations ⋮ Trisecant flops, their associated \(K3\) surfaces and the rationality of some cubic fourfolds ⋮ SUPERFICIAL FIBRES OF GENERIC PROJECTIONS ⋮ Incident rational curves ⋮ On the size and local equations of fibres of general projections

Uses Software

• Macnodal

Cites Work

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• A new Castelnuovo bound for codimension three subvarieties
• The (dimension \(+2\))-secant lemma
• The theorem of Mather on generic projections in the setting of algebraic geometry
• On the smooth locus of aligned Hilbert schemes, the \(k\)-secant lemma and the general projection theorem
• Jacobi-Bernoulli cohomology and deformations of schemes and maps
• Lie atoms and their deformations
• Generic projections
• Deformations of Algebraic Schemes
• Fibers of generic projections
• The Cotangent Complex of a Morphism
• Algebraic Families on an Algebraic Surface

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