Birational classification of pointless del Pezzo surfaces of degree 8

DOI10.1007/s40879-023-00591-7OpenAlexW4319338155MaRDI QIDQ2688841

Andrey Trepalin

Publication date: 6 March 2023

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2202.11030

zbMATH Keywords

del Pezzo surfacesBrauer groupquadric surfacesSarkisov links

Mathematics Subject Classification ID

Rational and birational maps (14E05) Other nonalgebraically closed ground fields in algebraic geometry (14G27) Fano varieties (14J45) Brauer groups of schemes (14F22)

Cites Work

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• Factorization of birational maps of rational surfaces from the viewpoint of Mori theory
• Symmetric powers of Severi–Brauer varieties
• Morphisms to Brauer–Severi Varieties, with Applications to Del Pezzo Surfaces
• Unramified Brauer Group and Its Applications
• Finite Subgroups of the Plane Cremona Group
• Boundedness for finite subgroups of linear algebraic groups
• Birational automorphisms of Severi-Brauer surfaces
• Birationally rigid Fano varieties

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