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TORSORS AND STABLE EQUIVARIANT BIRATIONAL GEOMETRY

Part of: Algebraic groups Birational geometry

Published online by Cambridge University Press:  11 October 2022

BRENDAN HASSETT Open the ORCID record for BRENDAN HASSETT [Opens in a new window]  and
YURI TSCHINKEL Open the ORCID record for YURI TSCHINKEL [Opens in a new window]
BRENDAN HASSETT
Affiliation:
Department of Mathematics, Brown University, Box 1917 151, Thayer Street, Providence, Rhode Island 02912, USA [email protected]
YURI TSCHINKEL*
Affiliation:
Courant Institute, New York University New York, New York 10012, USA Simons Foundation, 160 Fifth Avenue, New York, New York 10010, USA
*
[email protected]
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Abstract

We develop the formalism of universal torsors in equivariant birational geometry and apply it to produce new examples of nonbirational but stably birational actions of finite groups.

MSC classification

Primary: 14L30: Group actions on varieties or schemes (quotients)
Secondary: 14E07: Birational automorphisms, Cremona group and generalizations
Type
Article
Information
Nagoya Mathematical Journal , Volume 250 , June 2023 , pp. 275 - 297
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Copyright
© The Author(s), 2022. Published by Cambridge University Press on behalf of Foundation Nagoya Mathematical Journal

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Footnotes

Hassett was partially supported by Simons Foundation Award 546235 and NSF grant 1701659, and Tschinkel by NSF grant 2000099.

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