Invariants for non-reductive group actions

2013/05/17 by Bérczi, Gergely, Kirwan, Frances
#13A50 #14L24 #14L30 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1305.4099

Abstract

We prove finite generation of the algebras of invariants for a class of linear actions of suitable non-reductive groups on projective and affine varieties, and give a geometric construction for their GIT quotients.

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• Towards non-reductive geometric invariant theory
• Reductive and unipotent actions of affine groups
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• Constructing quotients of algebraic varieties by linear algebraic group\n actions
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