Timeline for transcendence of canonical heights
Current License: CC BY-SA 2.5
4 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Dec 5, 2013 at 1:23 | comment | added | ACL | Néron's approach to the Néron-Tate height expresses it as a sum of local terms; almost all of them are zero, and (over function fields) all of them are rational numbers, whose denominators are controlled by the group of connected components of the Néron model. (Of course, this does not hold over number fields, because of the archimedean contribution.) | |
| Dec 4, 2013 at 17:55 | comment | added | user19475 | "For Abelian varieties, it follows from the explicit formulae for the Néron local pairing that the canonical height is even rational." Can you give me a precise reference for this claim? | |
| Apr 16, 2011 at 11:24 | comment | added | SGP | Many thanks for the commentsl It is very interesting to learn of the results in algebraic dynamics! | |
| Feb 23, 2011 at 8:42 | history | answered | ACL | CC BY-SA 2.5 |