A new presentation of the plane Cremona group

Urech, Christian; Zimmermann, Susanna

doi:10.1090/proc/14479

A new presentation of the plane Cremona group
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by Christian Urech and Susanna Zimmermann PDF

Proc. Amer. Math. Soc. 147 (2019), 2741-2755 Request permission

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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