Very free rational curves in Fano varieties

DOI10.1016/j.jalgebra.2022.08.009zbMath1498.14087arXiv2106.01991OpenAlexW3169240472MaRDI QIDQ2079232

Yanyan Li

Publication date: 29 September 2022

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.01991

zbMATH Keywords

rational curvesnormal bundlesseparable rational connectedness

Mathematics Subject Classification ID

Rational and unirational varieties (14M20) Plane and space curves (14H50) Varieties of low degree (14N25) Fano varieties (14J45) Positive characteristic ground fields in algebraic geometry (14G17)

Related Items (1)

Rational curves on del Pezzo surfaces in positive characteristic

Cites Work

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• Free and very free morphisms into a Fermat hypersurface
• On the normal bundles of rational curves on Fano 3-folds
• Rational curves on Fermat hypersurfaces
• Normal bundles of rational curves in projective spaces
• On the varieties parametrizing rational space curves with fixed normal bundle
• Equations defining Schubert varieties and Frobenius splitting of diagonals
• On the normal bundles of smooth rational space curves
• On the variety of smooth rational space curves with given degree and normal bundle
• Normal bundles of rational curves in \(P^ 3\).
• Normal bundles of rational curves in projective space
• The truncated second main theorem of function fields
• Weak approximation for Fano complete intersections in positive characteristic
• Le théorème de Bertini en famille
• Very free curves on Fano complete intersections
• Separable rational connectedness and stability
• Normal bundles of rational curves on complete intersections
• Irreducible components of Hilbert schemes of rational curves with given normal bundle
• Rational curves on prime Fano threefolds of index 1

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