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RATIONAL POINTS ON CERTAIN DEL PEZZO SURFACES OF DEGREE ONE
Published online by Cambridge University Press: 01 September 2008
Abstract
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.
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- Copyright © Glasgow Mathematical Journal Trust 2008
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