Open Access
January, 2016 Picard numbers of Delsarte surfaces
Bas HEIJNE
J. Math. Soc. Japan 68(1): 101-118 (January, 2016). DOI: 10.2969/jmsj/06810101

Abstract

We give a classification of all complex Delsarte surfaces with only isolated ADE singularities. This results in 83 types of surfaces. For each of these types, we give a closed formula for the Picard number depending only on the degree.

Citation

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Bas HEIJNE. "Picard numbers of Delsarte surfaces." J. Math. Soc. Japan 68 (1) 101 - 118, January, 2016. https://doi.org/10.2969/jmsj/06810101

Information

Published: January, 2016
First available in Project Euclid: 25 January 2016

zbMATH: 1344.14025
MathSciNet: MR3454555
Digital Object Identifier: 10.2969/jmsj/06810101

Subjects:
Primary: 14J29

Keywords: Delsarte surface , Picard number

Rights: Copyright © 2016 Mathematical Society of Japan

Vol.68 • No. 1 • January, 2016
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