Essential dimension of symmetric groups in prime characteristic

DOI10.5802/crmath.577MaRDI QIDQ6579112

Zinovy Reichstein, Oakley Edens

Publication date: 25 July 2024

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

zbMATH Keywords

positive characteristicsymmetric groupessential dimensiongeneral polynomialgroup action on an algebraic variety

Mathematics Subject Classification ID

Group actions on varieties or schemes (quotients) (14L30) Polynomials in general fields (irreducibility, etc.) (12E05) Rational and birational maps (14E05) Positive characteristic ground fields in algebraic geometry (14G17)

Cites Work

• Finite groups of essential dimension one
• The \(g\)-periodic subvarieties for an automorphism \(g\) of positive entropy on a compact Kähler manifold
• Essential dimension: A functorial point of view (after A. Merkurjev)
• Essential dimension in mixed characteristic
• Essential dimensions of \(A_7\) and \(S_7\)
• Essential dimension: a survey
• The behavior of essential dimension under specialization
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