Counting rational points on quartic del Pezzo surfaces with a rational conic

Counting rational points on quartic del Pezzo surfaces with a rational conic

Upper and lower bounds, of the expected order of magnitude, are obtained for the number of rational points of bounded height on any quartic del Pezzo surface over Q that contains a conic defined over Q .

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Veröffentlicht in:Mathematische annalen 2019-04, Vol.373 (3-4), p.977-1016
Hauptverfasser: Browning, T. D., Sofos, E.
Format: Artikel
Sprache:eng
Schlagworte:
Lower bounds
Mathematics
Mathematics and Statistics
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Beschreibung
Zusammenfassung:Upper and lower bounds, of the expected order of magnitude, are obtained for the number of rational points of bounded height on any quartic del Pezzo surface over Q that contains a conic defined over Q .
ISSN:0025-5831
1432-1807
DOI:10.1007/s00208-018-1716-6