Timeline for Shafarevich conjecture for abelian varieties
Current License: CC BY-SA 3.0
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Apr 6, 2016 at 14:21 | vote | accept | Ginevra Carbone | ||
| Apr 6, 2016 at 10:53 | answer | added | Ariyan Javanpeykar | timeline score: 11 | |
| Apr 6, 2016 at 10:29 | comment | added | Vesselin Dimitrov | The ground field is $\mathbb{C}$ (an algebraically closed field of characteristic zero), and then the field $K := K(B)$ of meromorphic functions on $B$ is a one-dimensional function field that is the analog of the number field in Shafarevich's conjecture. Reduction is at the places of this field $K$, which correspond to the points of $B$. Geometrically, it means simply that the fibers of $f : A \to B$ are smooth (so abelian varieties) outside of the specified finite set $S$. | |
| Apr 6, 2016 at 10:22 | history | asked | Ginevra Carbone | CC BY-SA 3.0 |