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Proceedings of the American Mathematical Society

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A new presentation of the plane Cremona group


Authors: Christian Urech and Susanna Zimmermann
Journal: Proc. Amer. Math. Soc. 147 (2019), 2741-2755
MSC (2010): Primary 14E07, 20F05
DOI: https://doi.org/10.1090/proc/14479
Published electronically: March 26, 2019
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Abstract: We give a presentation of the plane Cremona group over an algebraically closed field with respect to the generators given by the theorem of Noether and Castelnuovo. This presentation is particularly simple and can be used for explicit calculations.


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Additional Information

Christian Urech
Affiliation: Department of Mathematics, Huxley Building, Imperial College London, 180 Queen’s Gate, London SW7 2AZ, United Kingdom
Email: christian.urech@gmail.com

Susanna Zimmermann
Affiliation: Laboratoire Angevin de Recherche en Mathématiques (LAREMA), CNRS, Université d’Angers, 2 Boulevard Lavoisier, 49045 Angers Cedex, France
Email: zimmermann@math.univ-angers.fr

DOI: https://doi.org/10.1090/proc/14479
Received by editor(s): February 21, 2018
Received by editor(s) in revised form: July 30, 2018
Published electronically: March 26, 2019
Additional Notes: During this work, both authors were partially supported by the Swiss National Science Foundation.
Communicated by: Rachel Pries
Article copyright: © Copyright 2019 American Mathematical Society