Realisation of linear algebraic groups as automorphism groups

2023/11/07 by Florence, Mathieu
#14L #20G #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2311.04118

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.

Related

• Realisation of abelian varieties as automorphism groups
• Some automorphism groups are linear algebraic
• Abelian varieties as automorphism groups of smooth projective varieties in arbitrary characteristics
• Automorphism groups of almost homogeneous varieties
• Abelian varieties as automorphism groups of smooth projective varieties