Versality of algebraic group actions and rational points on twisted varieties

DOI10.1090/S1056-3911-2015-00644-0zbMath1327.14210arXiv1109.6093OpenAlexW1979474520WikidataQ117371213 ScholiaQ117371213MaRDI QIDQ5264284

Alexander Duncan, Zinovy Reichstein

Publication date: 27 July 2015

Published in: Journal of Algebraic Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.6093

zbMATH Keywords

rational pointsalgebraic groupversality

Mathematics Subject Classification ID

Homogeneous spaces and generalizations (14M17) Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Group actions on varieties or schemes (quotients) (14L30) Rational points (14G05) Families, moduli of curves (algebraic) (14H10)

Related Items (26)

On the number of generators of an algebra over a commutative ring ⋮ Essential dimension in mixed characteristic ⋮ Essential dimension of algebraic groups, including bad characteristic ⋮ Essential dimension: a survey ⋮ Reduction of structure to parabolic subgroups ⋮ Pseudo-reflection groups and essential dimension ⋮ Free actions ofp-groups on affine varieties in characteristicp ⋮ The slice method for \(G\)-torsors ⋮ Special groups, versality and the Grothendieck-Serre conjecture ⋮ Finite Simple Groups of Small Essential Dimension ⋮ TORSORS AND STABLE EQUIVARIANT BIRATIONAL GEOMETRY ⋮ Modular functions and resolvent problems (with an appendix by Nate Harman) ⋮ Finite groups of birational transformations ⋮ Versal torsors and retracts ⋮ Fixed points, local monodromy, and incompressibility of congruence covers ⋮ Generalized versality, special points, and resolvent degree for the sporadic groups ⋮ The rationality problem for forms of M¯0,n ⋮ Joubert's theorem fails in characteristic 2 ⋮ Azumaya algebras without involution ⋮ Essential dimension of inseparable field extensions ⋮ Essential dimension of finite groups in prime characteristic ⋮ On the rigidity of moduli of weighted pointed stable curves ⋮ On the rationality problem for forms of moduli spaces of stable marked curves of positive genus ⋮ Equivariant unirationality of del Pezzo surfaces of degree 3 and 4 ⋮ On base sizes for algebraic groups ⋮ Resolvent degree, Hilbert's 13th problem and geometry

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