On rationally connected varieties over C1 fields of characteristic 0
Publication date
2021-08-05
Authors
Pieropan, Marta
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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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Pieropan, M 2021 'On rationally connected varieties over C1 fields of characteristic 0' arXiv, pp. 1-30. https://doi.org/10.48550/arXiv.1905.02227