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• W2764226384 abstract "Let $G$ be a simple algebraic group over the field of complex numbers. Fix a maximal torus $T$ and a Borel subgroup $B$ of $G$ containing $T$. Let $w$ be an element of the Weyl group $W$ of $G$, and let $Z(tilde w)$ be the Bott-Samelson-Demazure-Hansen (BSDH) variety corresponding to a reduced expression $tilde w$ of $w$ with respect to the data $(G, B, T)$. In this article we give complete characterization of the expressions $tilde w$ such that the corresponding BSDH variety $Z(tilde w)$ is Fano or weak Fano. As a consequence we prove vanishing theorems of the cohomology of tangent bundle of certain BSDH varieties and hence we get some local rigidity results." @default.
• W2764226384 created "2017-10-20" @default.
• W2764226384 creator A5019294282 @default.
• W2764226384 date "2018-01-23" @default.
• W2764226384 modified "2023-09-25" @default.
• W2764226384 title "On Fano and weak Fano Bott-Samelson-Demazure-Hansen varieties" @default.
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• W2764226384 hasPublicationYear "2018" @default.
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