Diagonal del Pezzo of degree 2 with a Brauer-Manin obstruction
Harry C. Shaw
TL;DR
This paper provides an asymptotic count of diagonal degree 2 del Pezzo surfaces with a Brauer-Manin obstruction to the Hasse principle, advancing understanding of rational points on algebraic surfaces.
Contribution
It introduces an asymptotic formula specifically for diagonal del Pezzo surfaces of degree 2 with Brauer-Manin obstructions, a novel counting result in this area.
Findings
Asymptotic formula for the number of such surfaces
Quantitative analysis of Brauer-Manin obstructions
Enhanced understanding of rational points distribution
Abstract
In this paper we give an asymptotic formula for the quantity of diagonal del Pezzo surfaces of degree 2 which have a Brauer-Manin obstruction to the Hasse principle when ordered by height.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Mathematics and Applications · Advanced Surface Polishing Techniques