Rational surfaces in index-one Fano hypersurfaces

DOI10.1090/S1056-3911-07-00459-6zbMath1141.14024arXivmath/0601710OpenAlexW1993443737MaRDI QIDQ5460228

Roya Beheshti, Jason Michael Starr

Publication date: 5 May 2008

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0601710

zbMATH Keywords

Hilbert schemeunirationalrationally connectedFano hypersurface

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Compact complex (n)-folds (32J18) Fano varieties (14J45) Hypersurfaces and algebraic geometry (14J70) Rationality questions in algebraic geometry (14E08)

Related Items (5)

Moduli spaces of rational curves on Fano threefolds ⋮ Restrictions on rational surfaces lying in very general hypersurfaces ⋮ Positivity results for spaces of rational curves ⋮ The irreducibility of the spaces of rational curves on del Pezzo surfaces ⋮ Fano varieties in index one Fano complete intersections

Cites Work

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• Rational connectedness and boundedness of Fano manifolds
• Cubic fourfolds and spaces of rational curves
• On the periods of certain rational integrals. I, II
• Which are the simplest algebraic varieties?
• Notes on stable maps and quantum cohomology
• Quot Functors for Deligne-Mumford Stacks
• Connexité rationnelle des variétés de Fano
• Higher-dimensional algebraic geometry

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