Rational points on singular intersections of quadrics

2011/08/09 by T. D. Browning, Browning, T. D., Ritabrata Munshi +1
Mathematics · #11D72 (Primary) 11E12 #11P55 #14G25 #14J20 (Secondary) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #FOS: Mathematics #Finite Group Theory Research #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1108.1902

openalex publication_date 2011/08/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given a projective intersection of two quadrics X in at least 9 variables, the quantitative behaviour of the rational points on X is investigated under the assumption that X contains a pair of conjugate singular points defined over the Gaussians.

Citations

• On the number of points on a complete intersection over a finite field

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