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arXiv · 2302.09960

On Automorphism group of a $G$-induced variety

Arpita Nayek·A. J. Parameswaran·Pinakinath Saha
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Abstract

Let $G$ be a connected semisimple algebraic group of adjoint type over the field $\mathbb{C}$ of complex numbers and $B$ be a Borel subgroup of $G.$ Let $F$ be an irreducible projective $B$-variety. Then consider the variety $E:=G\times^{B}F,$ which has a natural action of $G$; we call it $G$-induced variety or $(G,B)$-induced variety. In this article, we compute the connected component containing the identity automorphism of the group of all algebraic automorphisms of some particular $G$-induced varieties $E.$

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Arpita Nayek, A. J. Parameswaran, Pinakinath Saha. 2023-02-20. On Automorphism group of a $G$-induced variety. https://arxiv.org/abs/2302.09960

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