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On certain reduction problems concerning abelian surfaces

✍ Scribed by Eyal Z. Goren

Book ID
110620304
Publisher
Springer
Year
1997
Tongue
English
Weight
534 KB
Volume
94
Category
Article
ISSN
0025-2611

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πŸ“œ SIMILAR VOLUMES

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Let K be the composite field of an imaginary quadratic field QðoÞ of conductor d and a real abelian field L of conductor f distinct from the rationals Q; where ðd; f Þ ¼ 1: Let Z K be the ring of integers in K: Then concerning to Hasse's problem we construct new families of infinitely many fields K

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In this paper we consider orders of images of nontorsion points by reduction maps for abelian varieties defined over number fields and for odd dimensional K-groups of number fields. As an application we obtain the generalization of the support problem for abelian varieties and K-groups.