On Automorphism group of a $G$-induced variety
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866912058928267264 |
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| author | Nayek, Arpita Parameswaran, A. J. Saha, Pinakinath |
| author_facet | Nayek, Arpita Parameswaran, A. J. Saha, Pinakinath |
| contents | 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 $E.$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_09960 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On Automorphism group of a $G$-induced variety Nayek, Arpita Parameswaran, A. J. Saha, Pinakinath Algebraic Geometry Representation Theory 14M15 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 $E.$ |
| title | On Automorphism group of a $G$-induced variety |
| topic | Algebraic Geometry Representation Theory 14M15 |
| url | https://arxiv.org/abs/2302.09960 |