Wazir, Rania:
A bound for the average rank of a family of abelian varieties
Bollettino dell'Unione Matematica Italiana Serie 8 7-B (2004), fasc. n.1, p. 241-252, Unione Matematica Italiana (English)
pdf (258 Kb), djvu (157 Kb). | MR2044269 | Zbl 1118.11030
Sunto
Si considera una famiglia di varietà abeliane $A/ \mathbb{Q}(T)$ e si determina un estremo superiore per il rango di Mordell-Weil medio, in termini del rango di Mordell- Weil della fibra generica. Questo risultato è basato su stime di Michel per il rango medio di una famiglia di varietà abeliane, ed estende un lavoro precedente di Silverman sulle superficie ellittiche.
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