Open questions in arithmetic algebraic geometry (Q2768078)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Open questions in arithmetic algebraic geometry |
scientific article; zbMATH DE number 1698969
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Open questions in arithmetic algebraic geometry |
scientific article; zbMATH DE number 1698969 |
Statements
4 June 2003
0 references
elliptic curves
0 references
abelian varieties
0 references
torsion subgroups
0 references
ranks
0 references
Mordell-Weil group
0 references
Birch and Swinnerton-Dyer conjectures
0 references
\(ABC\) conjectures
0 references
Open questions in arithmetic algebraic geometry (English)
0 references
This is a survey paper which presents some conjectures in arithmetic algebraic geometry and mentions related known results. The central objects of the study are elliptic curves and abelian varieties usually defined over an algebraic number field. It contains questions and results about torsion subgroups, ranks of their Mordell-Weil group, the Birch and Swinnerton-Dyer conjectures, and the \(ABC\) conjectures. To some extent it is also accessible to graduate students and contains examples and exercises.NEWLINENEWLINEFor the entire collection see [Zbl 0974.00034].
0 references
