A NEW PRESENTATION OF THE PLANE CREMONA GROUP

Christian Urech (1) , Susanna Zimmermann (2)

1 Imperial College London
2 LAREMA - Laboratoire Angevin de Recherche en Mathématiques

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.

Domaines: Géométrie algébrique [math.AG]; Théorie des groupes [math.GR]

Christian Urech, Susanna Zimmermann. A NEW PRESENTATION OF THE PLANE CREMONA GROUP. Proceedings of the American Mathematical Society, 2019, 147 (7). ⟨hal-01719069⟩