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Mathematics of Computation
Mathematics of Computation
ISSN 1088-6842(online) ISSN 0025-5718(print)

 

Canonical vector heights on K3 surfaces with Picard number three-- An argument for nonexistence


Author: Arthur Baragar
Journal: Math. Comp. 73 (2004), 2019-2025
MSC (2000): Primary 14G40, 11G50, 14J28.
Published electronically: May 7, 2004
MathSciNet review: 2059748
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Abstract: In this paper, we investigate a K3 surface with Picard number three and present evidence that strongly suggests a canonical vector height cannot exist on this surface.


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Additional Information

Arthur Baragar
Affiliation: Department of Mathematical Sciences, University of Nevada, Las Vegas, Las Vegas, Nevada 89154-4020
Email: baragar@unlv.nevada.edu

DOI: http://dx.doi.org/10.1090/S0025-5718-04-01661-8
PII: S 0025-5718(04)01661-8
Keywords: K3 surfaces, canonical vector heights
Received by editor(s): February 14, 2003
Published electronically: May 7, 2004
Article copyright: © Copyright 2004 American Mathematical Society