Jordan property for groups of birational selfmaps
By Yuri Prokhorov, Constantin Shramov. Compositio Mathematica, 2013
89 citations recorded by the source corpus.
Abstract Assuming a particular case of the Borisov–Alexeev–Borisov conjecture, we prove that finite subgroups of the automorphism group of a finitely generated field over $\mathbb{Q}$ have bounded orders. Further, we investigate which algebraic varieties have groups of birational selfmaps satisfying the Jordan property. Unless explicitly stated otherwise, all varieties are assumed to be algebraic, geometrically irreducible and defined over an arbitrary field $\Bbbk$ of characteristic zero.
Subfields: Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/b856be2290062eefc517eb8063f09f498e34cc38
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In Geometry and Topology
- Yuri Prokhorov
- Constantin Shramov
- Alexander Kuznetsov
- K. Hori
- Emanuele Macrì
- P. Stellari
- Alexander Perry
- Nicolas Addington
In Mathematical Physics
- Constantin Shramov
- Yuri Prokhorov
- Alexander Kuznetsov
- K. Hori
- Emanuele Macrì
- P. Stellari
- Alexander Perry
- I. Smith
Citations in the corpus
- Hilbert schemes of lines and conics and automorphism groups of Fano threefolds (2016, background): “orphism group. Note that besides just proving niteness, this approach allows to give explicit upper bounds on some parameters of automorphism groups, which may be useful for further applications (cf. [PS14], [PS16]). Finally, in x4.4 we prove niteness of the automorphism groups in the remaining (eas”