Quotients of Severi-Brauer surfaces

DOI10.1134/S106456242106017XzbMath1483.14023arXiv2107.14530MaRDI QIDQ2121850

Andrey Trepalin

Publication date: 5 April 2022

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

Full work available at URL: https://arxiv.org/abs/2107.14530

zbMATH Keywords

minimal model programBrauer grouprationality problemsSeveri-Brauer surfaces

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Group actions on varieties or schemes (quotients) (14L30) Minimal model program (Mori theory, extremal rays) (14E30) Rationality questions in algebraic geometry (14E08)

Cites Work

• Generic splitting fields of central simple algebras
• Finite groups acting on Severi-Brauer surfaces
• Non-abelian groups acting on Severi-Brauer surfaces
• Rationality of the quotient of \(\mathbb P^2\) by finite group of automorphisms over arbitrary field of characteristic zero
• Factorization of birational maps of rational surfaces from the viewpoint of Mori theory
• Unramified Brauer Group and Its Applications
• Birational automorphisms of Severi-Brauer surfaces
• Automorphisms of cubic surfaces without points
• Quotients of del Pezzo surfaces

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