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RATIONAL POINTS ON CERTAIN DEL PEZZO SURFACES OF DEGREE ONE

Published online by Cambridge University Press:  01 September 2008

MACIEJ ULAS
MACIEJ ULAS*
Affiliation:
Jagiellonian University, Institute of Mathematics, Reymonta 4, 30-059 Kraków, Poland e-mail: Maciej.Ulas@im.uj.edu.pl
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Abstract

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Let and let us consider a del Pezzo surface of degree one given by the equation . In this paper we prove that if the set of rational points on the curve Ea,b : Y2 = X3 + 135(2a−15)X−1350(5a + 2b − 26) is infinite then the set of rational points on the surface ϵf is dense in the Zariski topology.

Keywords

Primary 11D2511D41Secondary 11G052
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 50 , Issue 3 , September 2008 , pp. 557 - 564
Copyright
Copyright © Glasgow Mathematical Journal Trust 2008

References

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