Fano manifolds and stability of tangent bundles

Fano manifolds and stability of tangent bundles

We determine the stability/instability of the tangent bundles of the Fano varieties in a certain class of two orbit varieties, which are classified by Pasquier in 2009. As a consequence, we show that some of these varieties admit unstable tangent bundles, which disproves a conjecture on stability of...

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Veröffentlicht in:arXiv.org 2019-12
1. Verfasser: Kanemitsu, Akihiro
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Bundles
Bundling
Manifolds
Stability
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description We determine the stability/instability of the tangent bundles of the Fano varieties in a certain class of two orbit varieties, which are classified by Pasquier in 2009. As a consequence, we show that some of these varieties admit unstable tangent bundles, which disproves a conjecture on stability of tangent bundles of Fano manifolds.
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subjects Bundles
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Stability
title Fano manifolds and stability of tangent bundles
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