Configurations de coniques et surfaces avec un nombre de Picard maximum. (Configurations of conics and surfaces with maximal Picard number)
type: Item
instance of: scholarly article
title: Configurations de coniques et surfaces avec un nombre de Picard maximum. (Configurations of conics and surfaces with maximal Picard number)
zbMATH Open document ID: 0612.14031
DOI: 10.1007/BF01161972
published in: Mathematische Zeitschrift
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/173831
review text: One constructs various examples of surfaces (elliptic, K3, Horikawa surfaces,...) with maximum Picard number by considering double coverings of \(P^ 1\times P^ 1\) ramified along curves of the form \(\sum \Gamma_{\sigma}+\sum P^ 1\times \lambda +\sum \mu \times P^ 1\) where \(\Gamma\) is the diagonal and \(\sigma\) runs through a finite subgroup of PGL(1) (here PGL(1) is identified with the linear system of curves of bidegree (1,1) on \(P^ 1\times P^ 1)\). One reobtains (with different constructions) some results due to \textit{U. Persson} [cf. Math. Ann. 259, 287-312 (1982; Zbl 0466.14010)].
Mathematics Subject Classification ID: 14C22
Mathematics Subject Classification ID: 14J25
zbMATH DE Number: 3989536
zbMATH Keywords: maximum Picard number
author: José Bertin
author: Georges Elencwajg
reviewed by: Alexandru Buium
MaRDI profile type: Publication
cites work: Q4195061
cites work: Q4143433
cites work: Q3941530
cites work: On deformations of quintic surfaces
cites work: Q4152652
cites work: The two most algebraic K3 surfaces
OpenAlex ID: W2029727912
description: scientific article; zbMATH DE number 3989536