Low-degree rational curves on hypersurfaces in projective spaces and their fan degenerations

DOI10.1016/j.jpaa.2020.106492zbMath1470.14112arXiv1906.03747OpenAlexW3046188249MaRDI QIDQ2196350

Ziv Ran

Publication date: 28 August 2020

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.03747

zbMATH Keywords

rational curvesprojective hypersurfacesdegeneration methods

Mathematics Subject Classification ID

Varieties of low degree (14N25) Fano varieties (14J45) Rationally connected varieties (14M22)

Related Items (1)

Interpolation of curves on Fano hypersurfaces

Cites Work

• Unnamed Item
• Kontsevich spaces of rational curves on Fano hypersurfaces
• Enumerative geometry of singular plane curves
• Families of plane curves and their limits: Enriques' conjecture and beyond
• On a theorem of Castelnuovo, and the equations defining space curves
• Projective manifolds with ample tangent bundles
• Unobstructedness of filling secants and the Gruson-Peskine general projection theorem
• A note on Hilbert schemes of nodal curves
• Rational curves on hypersurfaces of low degree

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