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Restriction of the Tangent Bundle of G/P to a Hypersurface
Published online by Cambridge University Press: 20 November 2018
Abstract
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Let 
$P$ be a maximal proper parabolic subgroup of a connected simple linear algebraic group 
$G$, defined over 
$\mathbb{C}$, such that 
$n\,:=\,{{\dim}_{\mathbb{C}}}\,G/P\,\ge \,4$. Let 
$\iota :\,Z\,\to \,G/P$ be a reduced smooth hypersurface of degree at least 
$\left( n\,-\,1 \right)\,.\,\deg \text{ree}\left( T\left( G/P \right) \right)/n$. We prove that the restriction of the tangent bundle 
${{\iota }^{*}}\,TG/P$ is semistable.
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- Research Article
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- Copyright © Canadian Mathematical Society 2010
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