A new presentation of the plane Cremona group

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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Veröffentlicht in:	Proceedings of the American Mathematical Society 2019-07, Vol.147 (7), p.2741-2755
Hauptverfasser:	URECH, CHRISTIAN, ZIMMERMANN, SUSANNA
Format:	Artikel
Sprache:	eng
Schlagworte:	A. ALGEBRA, NUMBER THEORY, AND COMBINATORICS Algebraic Geometry Group Theory Mathematics
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description	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.
doi_str_mv	10.1090/proc/14479
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subjects	A. ALGEBRA, NUMBER THEORY, AND COMBINATORICS Algebraic Geometry Group Theory Mathematics
title	A new presentation of the plane Cremona group
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