A new presentation of the plane Cremona group

DOI10.1090/proc/14479zbMath1442.14046arXiv1802.02735OpenAlexW2964091897WikidataQ128740745 ScholiaQ128740745MaRDI QIDQ5384799

Susanna Zimmermann, Christian Urech

Publication date: 26 June 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.02735

zbMATH Keywords

presentationCremona group

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Birational automorphisms, Cremona group and generalizations (14E07)

Related Items (2)

On the classification of cubic planar Cremona maps ⋮ Quotients of groups of birational transformations of cubic del Pezzo fibrations

Cites Work

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• Normal subgroups in the Cremona group
• Topologies and structures of the Cremona groups
• The Cremona group of the plane is compactly presented
• Proof of a theorem on relations in the two-dimensional Cremona group
• Two-Dimensional Cremona Groups Acting on Simplicial Complexes
• RELATIONS IN THE TWO-DIMENSIONAL CREMONA GROUP OVER A PERFECT FIELD
• On homomorphisms between Cremona groups
• Simple relations in the Cremona group
• Geometry of the plane Cremona maps

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