Convex separably rationally connected complete intersections

DOI10.1090/proc/13159zbMath1360.14045arXiv1311.6181OpenAlexW2333731510MaRDI QIDQ2814391

Katsuhisa Furukawa

Publication date: 22 June 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.6181

zbMATH Keywords

convexFano manifoldnef bundlerational homogeneous

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Fano varieties (14J45) Rationality questions in algebraic geometry (14E08) Rationally connected varieties (14M22)

Related Items

Varieties with nef diagonal ⋮ Normal bundles of rational curves on complete intersections ⋮ Universal degeneracy classes for vector bundles on \(\mathbb{P}^1\) bundles ⋮ Low-dimensional projective manifolds with nef tangent bundle in positive characteristic

Cites Work

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• Fano \(n\)-folds with nef tangent bundle and Picard number greater than \(n-5\)
• Projective manifolds whose tangent bundles are numerically effective
• Fano-varieties of lines on hypersurfaces
• On the variety of linear spaces contained in a complete intersection
• 4-folds with numerically effective tangent bundles and second Betti numbers greater than one
• Fano 5-folds with nef tangent bundles and Picard numbers greater than one
• On Fano manifolds with Nef tangent bundles admitting 1-dimensional varieties of minimal rational tangents
• Convex rationally connected varieties
• Rational curves on hypersurfaces