Hypersurface model-fields of definition for smooth hypersurfaces and their twists

DOI10.4064/aa180524-31-7zbMath1442.14137arXiv1804.06118OpenAlexW3009225045MaRDI QIDQ3298863

Eslam E. Badr, Francesc Bars Cortina

Publication date: 16 July 2020

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.06118

zbMATH Keywords

automorphism groupsfields of definitiontwistshypersurface models

Mathematics Subject Classification ID

Diophantine equations in many variables (11D72) Higher degree equations; Fermat's equation (11D41) Brauer groups of schemes (14F22) Hypersurfaces and algebraic geometry (14J70) Automorphisms of surfaces and higher-dimensional varieties (14J50)

Uses Software

• SageMath

Cites Work

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• Galois Cohomology
• Galois descent for the gonality of curves
• The period-index problem for the Brauer group of an algebraic surface
• On the automorphisms of hypersurfaces
• The Field of Definition of a Variety
• On twists of smooth plane curves
• Variations sur un thème de H. Poincaré