
Uniform bounds for the number of rational points on curves of small mordell-weil rank
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 outstanding open problem in arithmetic geometry, known by the work of Caporaso, Harris, and Mazur to follow from the Bombieri-Lang conjecture. A related conjecture posits the existence of a uniform bound N
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- 4904 Pure mathematics
- 0101 Pure Mathematics
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Published In
DOI
ISSN
Publication Date
Volume
Issue
Start / End Page
Related Subject Headings
- General Mathematics
- 4904 Pure mathematics
- 0101 Pure Mathematics