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September 2016 On the Néron–Severi lattice of a Delsarte surface
Alex Degtyarev
Kyoto J. Math. 56(3): 611-632 (September 2016). DOI: 10.1215/21562261-3600202

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 Alexander module related to a certain abelian covering.

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Alex Degtyarev. "On the Néron–Severi lattice of a Delsarte surface." Kyoto J. Math. 56 (3) 611 - 632, September 2016. https://doi.org/10.1215/21562261-3600202

Information

Received: 16 January 2015; Revised: 13 May 2015; Accepted: 14 May 2015; Published: September 2016
First available in Project Euclid: 22 August 2016

zbMATH: 1358.14027
MathSciNet: MR3542778
Digital Object Identifier: 10.1215/21562261-3600202

Subjects:
Primary: 14J25
Secondary: 14C22, 14H30

Rights: Copyright © 2016 Kyoto University

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Vol.56 • No. 3 • September 2016
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