Vojta’s Main Conjecture for blowup surfaces

McKinnon, David

doi:10.1090/S0002-9939-02-06784-9

Vojta’s Main Conjecture for blowup surfaces
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by David McKinnon PDF

Proc. Amer. Math. Soc. 131 (2003), 1-12 Request permission

Abstract:

In this paper, we prove Vojta’s Main Conjecture for split blowups of products of certain elliptic curves with themselves. We then deduce from the conjecture bounds on the average number of rational points lying on curves on these surfaces, and expound upon this connection for abelian surfaces and rational surfaces.

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