On the number of fibrations transversal to a rational curve in a complex surface

2016/02/02 by Maycol Falla Luza, M. Falla Luza, Luza, M. Falla +3
Mathematics · #37F75 #53C56 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Complex Variables (math.CV) #FOS: Mathematics #Holomorphic and Operator Theory #Meromorphic and Entire Functions #math.AG #math.CV #msc:37F75 #msc:53C56

paper · pdf · doi:10.48550/arxiv.1602.00980

6 pages

arxiv created 2016/02/02 · openalex publication_date 2016/02/02 · arxiv updated 2016/02/03 · openalex created_date 2019/07/30 · openalex updated_date 2026/07/28

Abstract

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

Related

• Enumerating curves on rational surfaces: the rational fibration method
• Geometry and arithmetic of geometrically integral regular del Pezzo surfaces
• Classifying sections of del Pezzo fibrations, II
• Inverse curve problems on del Pezzo surfaces
• Homogeneous Fibrations over Curves