Kobayashi non-hyperbolicity of Calabi-Yau manifolds via mirror symmetry

DOI10.1007/s00220-020-03719-yzbMath1444.32025arXiv1908.08573OpenAlexW3099286819MaRDI QIDQ778821

Ljudmila Kamenova, Cumrun Vafa

Publication date: 20 July 2020

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.08573

zbMATH Keywords

Calabi-Yau manifoldsmirror symmetryKobayashi non-hyperbolicity

Mathematics Subject Classification ID

Calabi-Yau theory (complex-analytic aspects) (32Q25)

Related Items (1)

Rational curves and strictly nef divisors on Calabi-Yau threefolds

Cites Work

• Holomorphic anomalies in topological field theories
• Reduced genus-one Gromov-Witten invariants
• Ergodic complex structures on hyperkähler manifolds
• Analytic torsion for Calabi-Yau threefolds
• Calabi-Yau threefolds with \(\rho > 13\)
• Kobayashi pseudometric on hyperkähler manifolds
• The reduced genus $1$ Gromov-Witten invariants of Calabi-Yau hypersurfaces
• Intrinsic distances, measures and geometric function theory
• PICARD-FUCHS EQUATIONS AND SPECIAL GEOMETRY
• Generalized Hodge metrics and BCOV torsion on Calabi-Yau moduli

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