Comptes Rendus
no. 5
Ordinary differential equations/Analytic geometry
On the number of fibrations transverse to a rational curve in complex surfaces

Presented by: Claire Voisin

Maycol Falla Luza1; Frank Loray2
1 UFF, Universidad Federal Fluminense, rua Mário Santos Braga S/N, Niterói, RJ, Brazil
2 IRMAR, Université de Rennes-1, 35042 Rennes cedex, France
Comptes Rendus. Mathématique, Volume 354 (2016) no. 5, pp. 470-474.

We investigate the existence, and lack of uniqueness, of a holomorphic fibration by discs transverse to a rational curve in a complex surface.

Nous étudions l'existence et le défaut d'unicité de fibrations holomorphes en disques transverses à une courbe rationnelle dans une surface complexe.

Received:
Accepted:
Published online:
DOI: 10.1016/j.crma.2016.03.002

Maycol Falla Luza 1; Frank Loray 2

1 UFF, Universidad Federal Fluminense, rua Mário Santos Braga S/N, Niterói, RJ, Brazil
2 IRMAR, Université de Rennes-1, 35042 Rennes cedex, France 
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Maycol Falla Luza; Frank Loray. On the number of fibrations transverse to a rational curve in complex surfaces. Comptes Rendus. Mathématique, Volume 354 (2016) no. 5, pp. 470-474. doi : 10.1016/j.crma.2016.03.002. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/j.crma.2016.03.002/

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[3] J.C. Hurtubise; N. Kamran Projective connections, double fibrations, and formal neighborhoods of lines, Math. Ann., Volume 292 (1992), pp. 383-409

[4] W. Kryński Webs and projective structures on a plane, Differ. Geom. Appl., Volume 7 (2014), pp. 133-140

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