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Stability of tangent bundles of low-dimensional Fano manifolds with Picard number 1 - MaRDI portal

Stability of tangent bundles of low-dimensional Fano manifolds with Picard number 1 (Q1298107)

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scientific article; zbMATH DE number 1336959
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English
Stability of tangent bundles of low-dimensional Fano manifolds with Picard number 1
scientific article; zbMATH DE number 1336959

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    Stability of tangent bundles of low-dimensional Fano manifolds with Picard number 1 (English)
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    14 September 1999
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    By studying the projective geometry of the varieties of tangent directions to minimal rational curves, we prove that the tangent bundle of a 5-dimensional Fano manifold with Picard number 1 is stable and the tangent bundle of a 6-dimensional Fano manifold with Picard number 1 is semi-stable.
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    tangent bundle
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    Fano manifold
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    Picard number 1
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