zbMATH — the first resource for mathematics

A remark on the generation of the Cremona group. (Une remarque sur la génération du groupe de Cremona.) (French) Zbl 0972.14006
Summary: We show that any set of generators of the Cremona group of \(\mathbb{P}^n\) with \(n>2\) contains an infinite non-numerable number of non-trivial transformations.

14E07 Birational automorphisms, Cremona group and generalizations
Full Text: DOI
[1] R. Hartshorne (1977): Algebraic Geometry.Springer Verlag. · Zbl 0367.14001
[2] H.P. Hudson (1927): Cremona transformation in Plane and Space.Cambridge at the University Press. · JFM 53.0595.01
[3] S. Katz (1990): Recent Work on Cremona Transformations.Research Notes in Mathematics, Sundance 90. Edited by D. Eisenbud and C. Huneke. · Zbl 0768.14004
[4] I. Pan (1998): Les transformations de Cremona stellaires.Prépublication. · Zbl 0966.14009
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.