Density of rational points on a family of del Pezzo surfaces of degree one

Let \(k\) be an infinite field of characteristic 0, and \(X\) a del Pezzo surface of degree \(d\) with at least one \(k\)-rational point. Various methods from algebraic geometry and arithmetic statistics have shown the Zariski density of the set \(X(k)\) of \(k\)-rational points in \(X\) for \(d\geq...

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Veröffentlicht in:	arXiv.org 2022-06
Hauptverfasser:	Desjardins, Julie, Winter, Rosa
Format:	Artikel
Sprache:	eng
Schlagworte:	Density Mathematics - Algebraic Geometry
Online-Zugang:	Volltext
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