MANY CUBIC SURFACES CONTAIN RATIONAL POINTS

MANY CUBIC SURFACES CONTAIN RATIONAL POINTS

Building on recent work of Bhargava, Elkies and Schnidman and of Kriz and Li, we produce infinitely many smooth cubic surfaces defined over the field of rational numbers that contain rational points.

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Bibliographische Detailangaben
Veröffentlicht in:Mathematika 2017, Vol.63 (3), p.818-839
1. Verfasser: Browning, T. D.
Format: Artikel
Sprache:eng
Schlagworte:
11G05
11G35
14G05 (primary)
14G25 (secondary)
Online-Zugang:Volltext
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Beschreibung
Zusammenfassung:Building on recent work of Bhargava, Elkies and Schnidman and of Kriz and Li, we produce infinitely many smooth cubic surfaces defined over the field of rational numbers that contain rational points.
ISSN:0025-5793
2041-7942
DOI:10.1112/S0025579317000195