The tangent bundle of a Calabi-Yau manifold-deformations and restriction to rational curves |
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Authors: | D. Huybrechts |
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Affiliation: | (1) Max-Planck-Institut für Mathematik, Gottfried-Claren-Str. 26, 53225 Bonn, Germany;(2) Institute for Advanced Study, School of Mathematics, Olden Lane, 08540 Princeton, NJ, USA |
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Abstract: | The tangent bundle 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 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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