Pairs of quadrics in eleven variables over number fields

A nested version of the $δ$-method is developed for number fields $K/\QQ$ and is used to establish an asymptotic formula for the number of $K$-rational points of bounded height on non-singular complete intersections of two quadrics in $\PP^{n-1}_K$, when $n\geqslant11$.

Authors

Publication Details

Journal
arXiv (Cornell University)
Published
2026-11-02
DOI
https://doi.org/10.48550/arxiv.2611.03085
Primary Topic
Algebraic Geometry and Number Theory
Type
preprint
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preprint

Pairs of quadrics in eleven variables over number fields

Esrafil Ali Molla
arXiv (Cornell University)
Algebraic Geometry and Number Theory
preprint

Pairs of quadrics in eleven variables over number fields

Esrafil Ali Molla
preprint en

Abstract

A nested version of the $δ$-method is developed for number fields $K/\QQ$ and is used to establish an asymptotic formula for the number of $K$-rational points of bounded height on non-singular complete intersections of two quadrics in $\PP^{n-1}_K$, when $n\geqslant11$.

arXiv (Cornell University)
Algebraic Geometry and Number Theory
DOIOpen Access PDFOpenAlex
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Pairs of quadrics in eleven variables over number fields — Esrafil Ali Molla · arXiv (Cornell University) (2026) | TGRS Research Map | TGRS