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Elliptic curves on spinor varieties

Nicolas Perrin (2012)

Open Mathematics

We prove irreducibility of the scheme of morphisms, of degree large enough, from a smooth elliptic curve to spinor varieties. We give an explicit bound on the degree.

Elliptic curves over function fields with a large set of integral points

Ricardo P. Conceição (2013)

Acta Arithmetica

We construct isotrivial and non-isotrivial elliptic curves over q ( t ) with an arbitrarily large set of separable integral points. As an application of this construction, we prove that there are isotrivial log-general type varieties over q ( t ) with a Zariski dense set of separable integral points. This provides a counterexample to a natural translation of the Lang-Vojta conjecture to the function field setting. We also show that our main result provides examples of elliptic curves with an explicit and arbitrarily...

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