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
Keywords:
logarithmic Kodaira dimension
,
logarithmic plurigenus
,
Open algebraic surface
Rights: Copyright © 2017 Mathematical Society of Japan
