On rational elliptic surfaces with multiple fibers
type: Item
instance of: scholarly article
title: On rational elliptic surfaces with multiple fibers
zbMATH Open document ID: 0729.14027
author: Yoshio Fujimoto
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 1990-01-01T00:00:00Z
review text: The author studies rational elliptic surfaces with one non-singular m-ple multiple fibre. They are obtained by blowing up 9 points on a projective plane. It is proved that these 9 points lie on a smooth cubic curve, that their sum (with respect to the group structure of 1-dimensional complex torus) is of order m, and vice versa. These facts may be already known to specialists.
Mathematics Subject Classification ID: 14J27
Mathematics Subject Classification ID: 14M20
zbMATH DE Number: 4204547
zbMATH Keywords: rational elliptic surfaces
zbMATH Keywords: multiple fibre
zbMATH Keywords: blowing up 9 points
reviewed by: Eiji Horikawa
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195171661
OpenAlex ID: W1994704756
cites work: Séminaire sur les singularités des surfaces. Centre de Mathématiques de l'École Polytechnique, Palaiseau 1976-1977
cites work: Logarithmic transformations on elliptic fiber spaces
cites work: On compact complex analytic surfaces. I
cites work: Rational surfaces with an anti-canonical cycle
cites work: Q3699837
DOI: 10.2977/PRIMS/1195171661
description: scientific article; zbMATH DE number 4204547