Fano manifolds and stability of tangent bundles-Reference-Cited by-同舟云学术

Fano manifolds and stability of tangent bundles

Published:2020-12-15 Issue:774 Volume:2021 Page:163-183
ISSN:0075-4102
Container-title:Journal für die reine und angewandte Mathematik (Crelles Journal)
language:en
Short-container-title:

Author:

Kanemitsu Akihiro¹

Affiliation:

1. Department of Mathematics, Graduate School of Science , Kyoto University , Kyoto 606-8502 , Japan Current address: Department of Mathematics, Graduate School of Science and Engineering, Saitama University, Saitama-City, Saitama, 338-8570, Japan

Abstract

Abstract 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.

Funder

Japan Society for the Promotion of Science

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/crelle-2020-0043/pdf

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