Translator Disclaimer
VOL. 75 | 2017 Irrational open surfaces of non-negative logarithmic Kodaira dimension
Hideo Kojima

Editor(s) Kayo Masuda, Takashi Kishimoto, Hideo Kojima, Masayoshi Miyanishi, Mikhail Zaidenberg

## Abstract

We study irrational open algebraic surfaces of non-negative logarithmic Kodaira dimension in any characteristic. We give a structure theorem for the irrational open surfaces of logarithmic Kodaira dimension zero. Then, by using this result and the results in [7], we prove that, for an irrational ruled open surface, its logarithmic Kodaira dimension is non-negative if and only if its logarithmic bigenus is positive.

## Information

Published: 1 January 2017
First available in Project Euclid: 21 September 2018

zbMATH: 1396.14057
MathSciNet: MR3793367

Digital Object Identifier: 10.2969/aspm/07510189

Subjects:
Primary: 14J26
Secondary: 14R25