𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Lower bounds for heights on elliptic curves

✍ Scribed by M. Anderson; David W. Masser

Publisher
Springer-Verlag
Year
1980
Tongue
French
Weight
533 KB
Volume
174
Category
Article
ISSN
0025-5874

No coin nor oath required. For personal study only.

πŸ“œ SIMILAR VOLUMES

A lower bound for the canonical height o
A lower bound for the canonical height on elliptic curves over abelian extensions
✍ Joseph H. Silverman πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 296 KB

Let E=K be an elliptic curve defined over a number field, let Δ₯ be the canonical height on E; and let K ab =K be the maximal abelian extension of K: Extending work of M. Baker (IMRN 29 (2003) 1571-1582), we prove that there is a constant CΓ°E=KÞ40 so that every nontorsion point PAEΓ°K ab Þ satisfies Δ₯

A lower bound for chaos on the elliptica
A lower bound for chaos on the elliptical stadium
✍ Eduardo Canale; Roberto Markarian; Sylvie Oliffson Kamphorst; SΓ΄nia Pinto de Car πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 620 KB

The elliptical stadium is a plane region bounded by a curve constructed by joining two half-ellipses, with half axes a > 1 and b = 1, by two parallel segments of equal length 2h. proved that if I < a < ~ and ifh is large enough then the corresponding billiard map has non-vanishing Lyapunov exponents