On a conjecture of Oguiso about rational curves on Calabi-Yau threefolds

DOI10.4171/CMH/315zbMath1304.14049arXiv1107.3337WikidataQ122957099 ScholiaQ122957099MaRDI QIDQ2448616

Andrea Ferretti, Simone Diverio

Publication date: 2 May 2014

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1107.3337

zbMATH Keywords

rational curveCalabi-Yau threefoldKobayashi's conjecturenef conerational points of cubic forms

Mathematics Subject Classification ID

Rational points (14G05) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Minimal model program (Mori theory, extremal rays) (14E30) Hyperbolic and Kobayashi hyperbolic manifolds (32Q45)

Related Items (6)

Automorphism groups of Calabi-Yau manifolds of Picard number 2 ⋮ Rational curves on fibered Calabi-Yau manifolds ⋮ Boundedness in families with applications to arithmetic hyperbolicity ⋮ Demailly's notion of algebraic hyperbolicity: geometricity, boundedness, moduli of maps ⋮ Rational curves on fibered varieties ⋮ Rational curves and strictly nef divisors on Calabi-Yau threefolds

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