On the Néron-Severi lattice of a Delsarte surface

Date
2016
Authors
Degtyarev, A.
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Source Title
Kyoto Journal of Mathematics
Print ISSN
2156-2261
Electronic ISSN
2154-3321
Publisher
Duke University Press
Volume
56
Issue
3
Pages
611 - 632
Language
English
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Abstract

We suggest an algorithm computing, in some cases, an explicit generating set for the Néron-Severi lattice of a Delsarte surface. In a few special cases, including those of Fermat surfaces and cyclic Delsarte surfaces that were previously conjectured in the literature, we show that certain "obvious" divisors do generate the lattice. The proof is based on the computation of the Alexandermodule related to a certain abelian covering. © 2016 by Kyoto University.

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Published Version (Please cite this version)