Publication

On rationally connected varieties over C1 fields of characteristic 0

Marta Pieropan
2022
Journal Articles

Abstract

We use birational geometry to show that the existence of rational points on proper rationally connected varieties over fields of characteristic 0 is a consequence of the existence of rational points on terminal Fano varieties. We discuss several consequences of this result, especially in relation to the C1-conjecture. We also provide evidence that supports the conjecture in dimension 3 for C1 fields of characteristic 0.

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On rationally connected varieties over C1 fields of characteristic 0

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