Quotients of higher-dimensional Cremona groups

DOI10.4310/ACTA.2021.v226.n2.a1zbMath1476.14031arXiv1901.04145MaRDI QIDQ2044121

Stéphane Lamy, Jérémy Blanc, Susanna Zimmermann

Publication date: 4 August 2021

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

Full work available at URL: https://arxiv.org/abs/1901.04145

zbMATH Keywords

normal subgroupsCremona groupsconic bundlesSarkisov linksrank-r fibrations

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Birational automorphisms, Cremona group and generalizations (14E07) Rational and birational maps (14E05) Fano varieties (14J45) Minimal model program (Mori theory, extremal rays) (14E30) Groupoids (i.e. small categories in which all morphisms are isomorphisms) (20L05)

Related Items (9)

Relations in the Cremona group over a perfect field ⋮ Birational self-maps of threefolds of (un)-bounded genus or gonality ⋮ Finite groups of birational transformations ⋮ Connected algebraic subgroups of groups of birational transformations not contained in a maximal one ⋮ Sarkisov links with centre space curves on smooth cubic surfaces ⋮ Rigid birational involutions of \(\mathbb{P}^3\) and cubic threefolds ⋮ Equivalent birational embedding. IV: Reduced varieties ⋮ Motivic invariants of birational maps ⋮ The real plane Cremona group is an amalgamated product

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