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Displaying similar documents to “Krammer's representation of the pure braid group P 3 .”

Linear bounds for levels of stable rationality

Fedor Bogomolov, Christian Böhning, Hans-Christian Graf von Bothmer (2012)

Open Mathematics

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Let G be one of the groups SLn(ℂ), Sp2n (ℂ), SOm(ℂ), Om(ℂ), or G 2. For a generically free G-representation V, we say that N is a level of stable rationality for V/G if V/G × ℙN is rational. In this paper we improve known bounds for the levels of stable rationality for the quotients V/G. In particular, their growth as functions of the rank of the group is linear for G being one of the classical groups.