A fiber dimension theorem for essential and canonical dimension

DOI10.1112/S0010437X12000565zbMath1260.14059MaRDI QIDQ4904428

Roland Lötscher

Publication date: 29 January 2013

Published in: Compositio Mathematica (Search for Journal in Brave)

zbMATH Keywords

canonical dimensionalgebraic groupfiberessential dimensionalgebraic torusalgebraic stackcategory fibered in groupoids

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Group actions on varieties or schemes (quotients) (14L30) Galois cohomology of linear algebraic groups (11E72) Generalizations (algebraic spaces, stacks) (14A20)

Related Items (5)

Essential dimension ⋮ Generically free representations. II: Irreducible representations ⋮ Spinors and essential dimension ⋮ Generically free representations. I: Large representations ⋮ Essential dimension and canonical dimension of gerbes banded by groups of multiplicative type

Cites Work

• Unnamed Item
• Essential dimension of moduli of curves and other algebraic stacks
• Nombres de Tamagawa et groupes unipotents en caractéristique p
• Lower bounds for essential dimensions via orthogonal representations.
• Essential dimension of finite \(p\)-groups.
• Essential dimension, spinor groups, and quadratic forms
• Canonical \(p\)-dimension of algebraic groups
• Canonical dimension of orthogonal groups
• On the notion of canonical dimension for algebraic groups
• Incompressibility of quadratic Weil transfer of generalized Severi–Brauer varieties
• Canonicalp-dimensions of algebraic groups and degrees of basic polynomial invariants

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