Picard numbers of Delsarte surfaces

Bas HEIJNE

doi:10.2969/jmsj/06810101

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Home > Journals > J. Math. Soc. Japan > Volume 68 > Issue 1 > Article

January, 2016 Picard numbers of Delsarte surfaces

Bas HEIJNE

J. Math. Soc. Japan 68(1): 101-118 (January, 2016). DOI: 10.2969/jmsj/06810101

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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.