Linear bounds for levels of stable rationality |
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| Authors: | Fedor Bogomolov Christian Böhning Hans-Christian Graf von Bothmer |
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| Affiliation: | 1.Courant Institute of Mathematical Sciences,New York,USA;2.Laboratory of Algebraic Geometry,GU-HSE,Moscow,Russia;3.Fachbereich Mathematik der Universit?t Hamburg,Hamburg,Germany;4.Mathematisches Institut der Georg-August-Universit?t G?ttingen,G?ttingen,Germany |
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| Abstract: | Let G be one of the groups SL n (ℂ), Sp2n (ℂ), SO m (ℂ), O m (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 × ℙ N 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. |
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