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Vojta's Main Conjecture for blowup surfaces |
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| Authors: | David McKinnon |
| Institution: | Department of Pure Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1 |
| 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. |
| Keywords: | Vojta's conjecture heights rational points elliptic curves |
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