Signature morphisms from the Cremona group over a non-closed field

DOI10.4171/JEMS/983zbMath1456.14019arXiv1707.07955OpenAlexW3039033595MaRDI QIDQ2216733

Stéphane Lamy, Susanna Zimmermann

Publication date: 17 December 2020

Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.07955

zbMATH Keywords

Cremona groupSarkisov programamalgam product

Mathematics Subject Classification ID

Birational automorphisms, Cremona group and generalizations (14E07) Minimal model program (Mori theory, extremal rays) (14E30)

Related Items (4)

Relations in the Cremona group over a perfect field ⋮ Rigid birational involutions of \(\mathbb{P}^3\) and cubic threefolds ⋮ A remark on Geiser involutions ⋮ The real plane Cremona group is an amalgamated product

Cites Work

• Normal subgroups in the Cremona group
• Non-simplicity of the Cremona group over any field
• The \(d\)-very ampleness on a projective surface in positive characteristic
• Approximate formulas for some functions of prime numbers
• Algebraic Surfaces in Positive Characteristic
• Relations in the Sarkisov program
• The Arithmetic of Elliptic Curves
• A Rational Polynomial whose Group is the Quaternions
• Groupe de Brauer et arithmétique des groupes algébriques linéaires sur un corps de nombres.
• RELATIONS IN THE TWO-DIMENSIONAL CREMONA GROUP OVER A PERFECT FIELD
• Chapters on algebraic surfaces
• Zariski chambers, volumes, and stable base loci
• The Sarkisov program
• The Cremona group
• Finite generation and geography of models
• Higher-dimensional algebraic geometry
• Introduction to the Mori program
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