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Kobayashi Non-Hyperbolicity of Calabi-Yau Manifolds via Mirror Symmetry
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- 1 Intro
- 2 Basics - Calabi-Yau
- 3 Examples of hyperkähler manifolds
- 4 Lagrangian Fibrations
- 5 Kobayashi's pseudometric
- 6 Kobayashi's conjectures
- 7 Main Theorems
- 8 Upper semicontinuity and double fibrations
- 9 Holomorphic Ray-Singer torsion
- 10 BCOV - FL formula
- 11 Relations in small dimensions
- 12 Quintic threefolds
- 13 Non-hyperbolicity results