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research article
On rationally connected varieties over C1 fields of characteristic 0
January 1, 2022
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.
Type
research article
Web of Science ID
WOS:000916183200002
Authors
Publication date
2022-01-01
Publisher
Published in
Volume
16
Issue
8
Start page
1811
End page
1844
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
February 27, 2023
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