Rationality of quotients by linear actions of affine groups - Mathematics > Algebraic GeometryReport as inadecuate




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Abstract: Let G be the special affine group, semidirect product of SL n and C^n. Inthis paper we study the representation theory of G and in particular thequestion of rationality for V-G where V is a generically free G-representation.We show that the answer to this question is positive if the dimension of V issufficiently large and V is indecomposable. We have a more precise theorem if Vis a two-step extension 0 -> S -> V -> Q -> 0 with S, Q completely reducible.



Author: Fedor Bogomolov, Christian Böhning, Hans-Christian Graf von Bothmer

Source: https://arxiv.org/



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