Automorphisms of cubic surfaces in positive characteristic

DOI10.1070/IM8803zbMath1427.14086arXiv1712.01167OpenAlexW2963559282MaRDI QIDQ4966875

Alexander Duncan, Igor V. Dolgachev

Publication date: 28 June 2019

Published in: Izvestiya: Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.01167

zbMATH Keywords

positive characteristicautomorphismscubic surfaces

Mathematics Subject Classification ID

Rational and ruled surfaces (14J26) Arithmetic ground fields for surfaces or higher-dimensional varieties (14J20) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Related Items

Rational curves on del Pezzo surfaces in positive characteristic, Automorphism groups of smooth cubic threefolds, Automorphisms of real del Pezzo surfaces and the real plane Cremona group, The Eckardt point configuration of cubic surfaces revisited, On the dynamics of the line operator \(\Lambda_{\{2\},\{3\}}\) on some arrangements of six lines, Cohomology of moduli spaces of Del Pezzo surfaces, Jordan property for the Cremona group over a finite field, Construction of symmetric cubic surfaces, Geometry of smooth extremal surfaces, Automorphisms of weighted projective hypersurfaces, Jordan constant for the Cremona group of rank two over a finite field, Anticanonical codes from del Pezzo surfaces with Picard rank one, Equivariant minimal model program, Del Pezzo surfaces over finite fields, Cubic surfaces on the singular locus of the Eckardt hypersurface, Cubic surfaces of characteristic two

Cites Work

• Modular invariant theory
• Automorphism groups of cubic surfaces
• Regular pairs of quadratic forms on odd-dimensional spaces in characteristic 2
• \(\text{GL}(4)\)-orbits in a \(16\)-dimensional module for characteristic \(3\)
• Resultant, discriminant
• Classical Algebraic Geometry
• General Fixed Point Formula for an Algebraic Surface and the Theory of Swan Representations for Two-Dimensional Local Rings
• Rational Surfaces with too Many Vector Fields
• On a New Normal Form of the General Cubic Surface
• Finite Subgroups of the Plane Cremona Group
• Representations of locally finite groups
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