Uniform bounds for the number of rational points on curves of small Mordell–Weil rank
Work
Year: 2016
Type: article
Abstract: 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 ... more
Source: Duke Mathematical Journal
Institutions Emory University, Atlanta Technical College, Georgia Institute of Technology, The Ohio State University
Cites: 57
Cited by: 55
Related to: 10
FWCI: 8.916
Citation percentile (by year/subfield): 95.11
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green