The Jordan property of Cremona groups and essential dimension

DOI10.1007/s00013-018-1218-5zbMath1477.14024arXiv1803.09008OpenAlexW2963765815WikidataQ117379650 ScholiaQ117379650MaRDI QIDQ1791624

Zinovy Reichstein

Publication date: 10 October 2018

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.09008

zbMATH Keywords

Cremona groupessential dimensionrepresentation dimensionJordan property

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07)

Related Items (3)

Essential dimension in mixed characteristic ⋮ Finite groups of birational transformations ⋮ Jordan property for algebraic groups and automorphism groups of projective varieties in arbitrary characteristic

Cites Work

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• Singularities on the base of a Fano type fibration
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• Essential dimension, spinor groups, and quadratic forms
• Essential dimensions of \(A_7\) and \(S_7\)
• Jordan property for Cremona groups
• Simple finite subgroups of the Cremona group of rank 3
• Jordan Groups and Automorphism Groups of Algebraic Varieties
• Finite Simple Groups of Small Essential Dimension
• On the Makar-Limanov, Derksen invariants, and finite automorphism groups of algebraic varieties
• Finite Subgroups of the Plane Cremona Group
• Jordan constant for Cremona group of rank 3

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