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
Format: Artikel
Sprache:eng
Schlagworte:
Bundles
Bundling
Manifolds
Stability
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Zusammenfassung: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.
ISSN:2331-8422