Open Access
VOL. 60 | 2010 Projective surfaces with many nodes
Chapter Author(s) JongHae Keum
Editor(s) JongHae Keum, Shigeyuki Kondō, Kazuhiro Konno, Keiji Oguiso
Adv. Stud. Pure Math., 2010: 245-257 (2010) DOI: 10.2969/aspm/06010245

Abstract

We prove that a smooth projective complex surface X, not necessarily minimal, contains h1,1(X)1 disjoint (2)-curves if and only if X is isomorphic to a relatively minimal ruled rational surface F2 or P2 or a fake projective plane.

We also describe smooth projective complex surfaces X with h1,1(X)2 disjoint (2)-curves.

Information

Published: 1 January 2010
First available in Project Euclid: 24 November 2018

zbMATH: 1214.14031
MathSciNet: MR2761930

Digital Object Identifier: 10.2969/aspm/06010245

Subjects:
Primary: 14J17 , 14J26 , 14J28 , 14J29

Keywords: bi-elliptic surface , Bogomolov–Miyaoka–Yau inequality , elliptic surface , Enriques surface , nodal curve , Node , ruled surface , Surface of general type

Rights: Copyright © 2010 Mathematical Society of Japan

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