Canonical vector heights on K3 surfaces with Picard number three— An argument for nonexistence-Reference-Cited by-同舟云学术

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

Published:2004-05-07 Issue:248 Volume:73 Page:2019-2025
ISSN:0025-5718
Container-title:Mathematics of Computation
language:en
Short-container-title:Math. Comp.

Author:

Baragar Arthur

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,Computational Mathematics,Algebra and Number Theory

Link

http://www.ams.org/mcom/2004-73-248/S0025-5718-04-01661-8/S0025-5718-04-01661-8.pdf

Reference7 articles.

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4. Computing the canonical height on 𝐾3 surfaces;Call, Gregory S.;Math. Comp.,1996

5. Rational points on 𝐾3 surfaces: a new canonical height;Silverman, Joseph H.;Invent. Math.,1991

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