On a sufficient condition for a Fano manifold to be covered by rational \(N\)-folds

DOI10.1016/j.jpaa.2019.02.010zbMath1433.14038arXiv1805.11244OpenAlexW2963465878MaRDI QIDQ2001417

Takahiro Nagaoka

Publication date: 3 July 2019

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

Full work available at URL: https://arxiv.org/abs/1805.11244

zbMATH Keywords

rational curvesBernoulli numbersFano manifoldscovered by rational manifolds

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Fano varieties (14J45)

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Higher order minimal families of rational curves and Fano manifolds with nef Chern characters ⋮ Higher Fano manifolds ⋮ An introduction to rationally connected fibrations over curves and surfaces

Cites Work

• Higher order minimal families of rational curves and Fano manifolds with nef Chern characters
• Projective manifolds with ample tangent bundles
• Chern classes of uniruled varieties
• Polarized minimal families of rational curves and higher Fano manifolds
• Families of singular rational curves