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  1. Bulletin of the Brazilian Mathematical Society
  2. Bulletin of the Brazilian Mathematical Society : Volume 39
  3. Bulletin of the Brazilian Mathematical Society : Volume 39, Issue 1, March 2008
  4. Sur un théorème de Castelnuovo
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Bulletin of the Brazilian Mathematical Society : Volume 48
Bulletin of the Brazilian Mathematical Society : Volume 47
Bulletin of the Brazilian Mathematical Society : Volume 46
Bulletin of the Brazilian Mathematical Society : Volume 45
Bulletin of the Brazilian Mathematical Society : Volume 44
Bulletin of the Brazilian Mathematical Society : Volume 43
Bulletin of the Brazilian Mathematical Society : Volume 42
Bulletin of the Brazilian Mathematical Society : Volume 41
Bulletin of the Brazilian Mathematical Society : Volume 40
Bulletin of the Brazilian Mathematical Society : Volume 39
Bulletin of the Brazilian Mathematical Society : Volume 39, Issue 4, December 2008
Bulletin of the Brazilian Mathematical Society : Volume 39, Issue 3, September 2008
Bulletin of the Brazilian Mathematical Society : Volume 39, Issue 2, June 2008
Bulletin of the Brazilian Mathematical Society : Volume 39, Issue 1, March 2008
An information geometry algorithm for distribution control
Addendum to “Complete rotation hypersurfaces with H k constant in space forms”*
Periodic solutions of generalized Liénard equations with a p-Laplacian-like operator*
Explicit expressions for moments of gamma order statistics
Sur un théorème de Castelnuovo
Moduli of polarized Hodge structures
Existence of the non-primitive Weierstrass gap sequences on curves of genus 8
Generators for semigroup of Lipman
On certain curves of genus three in characteristic two
Bulletin of the Brazilian Mathematical Society : Volume 38
Bulletin of the Brazilian Mathematical Society : Volume 37
Bulletin of the Brazilian Mathematical Society : Volume 36
Bulletin of the Brazilian Mathematical Society : Volume 35
Bulletin of the Brazilian Mathematical Society : Volume 34
Bulletin of the Brazilian Mathematical Society : Volume 33
Bulletin of the Brazilian Mathematical Society : Volume 32
Bulletin of the Brazilian Mathematical Society : Volume 31
Bulletin of the Brazilian Mathematical Society : Volume 30
Bulletin of the Brazilian Mathematical Society : Volume 29
Bulletin of the Brazilian Mathematical Society : Volume 28

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Sur un théorème de Castelnuovo

Content Provider Springer Nature Link
Author Blanc, Jérémy Pan, Ivan Vust, Thierry
Copyright Year 2008
Abstract Nous poursuivons l'étude faite par G. Castelnuovo en 1892 au sujet du groupe des transformations birationnelles du plan complexe qui fixent points par points une courbe de genre >1 ; nous nous servons comme lui des systèmes linéaires adjoints de la courbe fixe. Nous démontrons que ces groupes sont abéliens, et qu'ils sont soit finis, d'ordre 2 ou 3, soit conjugués à un sous-groupe du groupe de de Jonquières. Nous montrons également que ces résultats ne se généralisent pas aux courbes de genre ≤ 1.We continue the study of G. Castelnuovo on the group of birational transformations of the complex plane that fix each point of a curve of genus > 1 ; we use adjoint linear system of the curve as Castelnuovo does. We prove that these groups are abelian, and that these are either finite, of order 2 or 3, or conjuguate to a subgroup of the de Jonquières group. We show also that these results do not generalise to curves of genus ≤ 1.
Starting Page 61
Ending Page 80
Page Count 20
File Format PDF
ISSN 16787544
Journal Bulletin of the Brazilian Mathematical Society
Volume Number 39
Issue Number 1
e-ISSN 16787714
Language French
Publisher Springer Berlin Heidelberg
Publisher Date 2016-03-04
Publisher Place Berlin, Heidelberg
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Cremona transformations birational transformations fixed curves curves of high genus adjoint linear system de Jonquières transformations Mathematics Theoretical, Mathematical and Computational Physics
Content Type Text
Resource Type Article
Subject Mathematics
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