Geodesic
Realisation of linear algebraic groups as automorphism groups
Mathieu Florence1
1Sorbonne Université and Université Paris Cité, CNRS, IMJ-PRG, France
Documenta mathematica, Tome 30 (2025) no. 5, pp. 1201-1230

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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.
DOI : 10.4171/dm/1027
Classification : 14L15, 14B10, 14C15, 20G05, 14N05
Mots-clés : automorphism group scheme, linear algebraic group

Mathieu Florence  1

1 Sorbonne Université and Université Paris Cité, CNRS, IMJ-PRG, France 
Mathieu Florence. Realisation of linear algebraic groups as automorphism groups. Documenta mathematica, Tome 30 (2025) no. 5, pp. 1201-1230. doi: 10.4171/dm/1027
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