Uniform bounds for the number of rational points on curves of small Mordell–Weil rank

E Katz, J Rabinoff, D Zureick-Brown - 2016 - projecteuclid.org
Let X be a curve of genus g≥ 2 over a number field F of degree d=[F: Q]. The conjectural
existence of a uniform bound N (g, d) on the number# X (F) of F-rational points of X is an …

Uniform bounds for the number of rational points on curves of small Mordell--Weil rank

E Katz, J Rabinoff, D Zureick-Brown - arXiv preprint arXiv:1504.00694, 2015 - arxiv.org
Let $ X $ be a curve of genus $ g\geq 2$ over a number field $ F $ of degree $ d=[F: Q] $.
The conjectural existence of a uniform bound $ N (g, d) $ on the number $\# X (F) $ of $ F …

Uniform bounds for the number of rational points on curves of small Mordell--Weil rank

E Katz, J Rabinoff, D Zureick-Brown - arXiv e-prints, 2015 - ui.adsabs.harvard.edu
Let $ X $ be a curve of genus $ g\geq 2$ over a number field $ F $ of degree $ d=[F: Q] $.
The conjectural existence of a uniform bound $ N (g, d) $ on the number $\# X (F) $ of $ F …

[引用][C] Uniform bounds for the number of rational points on curves of small Mordell–Weil rank

E Katz, J Rabinoff, DZ Brown - Duke Mathematical Journal, 2016 - dialnet.unirioja.es

[PDF][PDF] UNIFORM BOUNDS FOR THE NUMBER OF RATIONAL POINTS ON CURVES OF SMALL MORDELL–WEIL RANK

E KATZ, J RABINOFF… - DUKE MATHEMATICAL …, 2016 - scholar.archive.org
Let X be a curve of genus g 2 over a number field F of degree d D ŒF W Q. The conjectural
existence of a uniform bound Ng; d/on the number# XF/of F-rational points of X is an …

UNIFORM BOUNDS FOR THE NUMBER OF RATIONAL POINTS ON CURVES OF SMALL MORDELL–WEIL RANK

E KATZ, J RABINOFF… - DUKE MATHEMATICAL …, 2016 - projecteuclid.org
Let X be a curve of genus g 2 over a number field F of degree d D ŒF W Q. The conjectural
existence of a uniform bound Ng; d/on the number# XF/of F-rational points of X is an …