Abstract
We investigate Fano varieties defined over a number field that contain subvarieties whose number of rational points of bounded height is comparable to the total number on the variety.
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Acknowledgments
While working on this paper the first author was supported by ERC grant 306457. The authors would like to thank Cécile Le Rudulier for her help with formulating Conjecture 1.4, together with Lee Butler, Ulrich Derenthal and the anonymous referee for some helpful comments.
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Browning, T.D., Loughran, D. Varieties with too many rational points. Math. Z. 285, 1249–1267 (2017). https://doi.org/10.1007/s00209-016-1746-2
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DOI: https://doi.org/10.1007/s00209-016-1746-2