Realisation of linear algebraic groups as automorphism groups

Let G be a linear algebraic group, over a field F . We show that G is isomorphic to the automorphism group scheme of a smooth projective F -variety, defined as the blow-up of a projective space, along a suitable smooth subvariety.

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Publication Details

Journal
Documenta Mathematica
Published
2025-07-14
DOI
https://doi.org/10.4171/dm/1027
Primary Topic
Advanced Topics in Algebra
Type
article
Field-Weighted Citation Impact
0.00
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article

Realisation of linear algebraic groups as automorphism groups

Mathieu Florence
Documenta Mathematica
Advanced Topics in Algebra
article

Realisation of linear algebraic groups as automorphism groups

Mathieu Florence
article en

Abstract

Let G be a linear algebraic group, over a field F . We show that G is isomorphic to the automorphism group scheme of a smooth projective F -variety, defined as the blow-up of a projective space, along a suitable smooth subvariety.

Documenta MathematicaVol. 30(5)
Centre National de la Recherche Scientifique (FR), Université Paris Cité (FR), Sorbonne Université (FR), Sorbonne Paris Cité (FR)
Openalex Percentile: Top 77%
Advanced Topics in Algebra
DOIOpen Access PDFOpenAlex
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