Rational Curves on Fibered Calabi-Yau Manifolds
| Authors |
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| Publication date | 2019 |
| Journal | Documenta Mathematica |
| Volume | Issue number | 24 |
| Pages (from-to) | 663-676 |
| Organisations |
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| Abstract | We show that a smooth projective complex manifold of dimension greater than two endowed with an elliptic fiber space structure and with finite fundamental group always contains a rational curve, provided its canonical bundle is relatively trivial. As an application of this result, we prove that any Calabi-Yau manifold that admits a fibration onto a curve whose general fiber is an abelian variety always contains a rational curve. |
| Document type | Article |
| Language | English |
| Published at | https://doi.org/10.25537/dm.2019v24.663-675 |
| Other links | https://www.scopus.com/pages/publications/85078013184 |
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Rational curves on fibered calabi-yau manifolds
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