Differential descent obstructions over function fields

Voloch, José

doi:10.1090/S0002-9939-2014-12189-7

Differential descent obstructions over function fields
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by José Felipe Voloch PDF

Proc. Amer. Math. Soc. 142 (2014), 3421-3424 Request permission

Abstract:

We study a new obstruction to the existence of integral and rational points for algebraic varieties over function fields, the differential descent obstruction. We prove that this is the only obstruction to the existence of integral points in affine varieties in characteristic zero and also, in most cases, for rational points on curves in arbitrary characteristic.

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