Abstract
The tangent bundle ℐ X of a Calabi-Yau threefoldX is the only known example of a stable bundle with non-trivial restriction to any rational curve onX. By deforming the direct sum of ℐ X and the trivial line bundle one can try to obtain new examples. We use algebro-geometric techniques to derive results in this direction. The relation to the finiteness of rational curves on Calabi-Yau threefolds is discussed.
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Huybrechts, D. The tangent bundle of a Calabi-Yau manifold-deformations and restriction to rational curves. Commun.Math. Phys. 171, 139–158 (1995). https://doi.org/10.1007/BF02103773
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DOI: https://doi.org/10.1007/BF02103773