Application of multihomogeneous covariants to the essential dimension of finite groups

DOI10.1007/s00031-010-9092-7zbMath1213.13017arXiv0811.3852OpenAlexW2028925499MaRDI QIDQ601756

Roland Lötscher

Publication date: 29 October 2010

Published in: Transformation Groups (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0811.3852

zbMATH Keywords

finite groupsessential dimensionmultihomogeneous covariants

Mathematics Subject Classification ID

Actions of groups on commutative rings; invariant theory (13A50) Birational geometry (14E99) Algebraic groups (14L99)

Related Items (5)

Essential dimension in mixed characteristic ⋮ Compression of finite group actions and covariant dimension. II. ⋮ Essential dimension: a survey ⋮ On the essential dimension of cyclic groups ⋮ Essential dimension and canonical dimension of gerbes banded by groups of multiplicative type

Cites Work

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• Essential dimension of moduli of curves and other algebraic stacks
• Compression of finite group actions and covariant dimension. II.
• Essential dimension of finite \(p\)-groups.
• Period, index and potential \(\text Ш\)
• Essential dimension: A functorial point of view (after A. Merkurjev)
• Compression of finite group actions and covariant dimension
• On the essential dimension of cyclic \(p\)-groups
• Canonical \(p\)-dimension of algebraic groups
• Geometric Invariant Theory
• A central extension theorem for essential dimensions
• Finite groups with faithful irreducible and directly indecomposable modular representations

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