Uniformity of quadratic points

Tangli Ge

doi:10.1142/S1793042124500532

Uniformity of quadratic points

Tangli Ge

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

In this paper, we extend a uniformity result of Dimitrov et al. [Uniformity in Mordell-Lang for curves, Ann. of Math. (2) 194(1) (2021) 237–298] to dimension two and use it to get a uniform bound on the cardinality of the set of all quadratic points for non-hyperelliptic non-bielliptic curves which only depend on the Mordell–Weil rank, the genus of the curve and the degree of the number field.

Original language	English (US)
Pages (from-to)	1041-1071
Number of pages	31
Journal	International Journal of Number Theory
Volume	20
Issue number	4
DOIs	https://doi.org/10.1142/S1793042124500532
State	Published - May 1 2024

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

Keywords

Mordell–Lang
non-degeneracy
quadratic points
uniformity

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10.1142/S1793042124500532

Cite this

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Uniformity of quadratic points

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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