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Fields of Invariants of Finite Linear Groups

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Cohomological and Geometric Approaches to Rationality Problems

Part of the book series: Progress in Mathematics ((PM,volume 282))

Summary

We study Noether’s rationality problem for actions of finite groups on projective three-space.

2000 Mathematics Subject Classification codes: 14E08, 13A50

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Acknowledgment

I express my thanks to V.A. Iskovskikh for many stimulating discussions on the rationality problems. I am grateful to F.A. Bogomolov for helpful suggestions and Ming-chang Kang for very useful corrections and comments.

The work was partially supported by grants CRDF-RUM, No. 1-2692-MO-05 and RFBR, No. 05-01-00353-a, 06-01-72017.

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Authors and Affiliations

  1. Department of Algebra, Faculty of Mathematics (and Mechanics), Moscow State University, 117234, Moscow, Russia

    Yuri G Prokhorov

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  1. Yuri G Prokhorov
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Correspondence to Yuri G Prokhorov .

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  1. Department of Mathematics, Courant Institute of Math. Sciences, New York University, Mercer St. 251, New York, 10012, USA

    Fedor Bogomolov

  2. Department of Mathematics, Courant Institute of Math. Sciences, New York University, Mercer St. 251, New York, 10012, New York, USA

    Yuri Tschinkel

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Prokhorov, Y.G. (2010). Fields of Invariants of Finite Linear Groups. In: Bogomolov, F., Tschinkel, Y. (eds) Cohomological and Geometric Approaches to Rationality Problems. Progress in Mathematics, vol 282. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4934-0_10

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