Counting rational points on del Pezzo surfaces with a conic bundle structure

2013/11/07 by T. D. Browning, Browning, T. D., Mike Swarbrick Jones +1
Computer Science · Mathematics · #11G50 (11G35 #14G05) #Algebraic Geometry and Number Theory #FOS: Mathematics #Number Theory (math.NT) #Polynomial and algebraic computation #Tensor decomposition and applications

paper · pdf · doi:10.48550/arxiv.1311.1665

openalex publication_date 2013/11/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

For any number field k, upper bounds are established for the number of k-rational points of bounded height on non-singular del Pezzo surfaces defined over k, which are equipped with suitable conic bundle structures over k.

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