Non-simple abelian varieties in a family: geometric and analytic approaches
نویسندگان
چکیده
منابع مشابه
Non-simple abelian varieties in a family: geometric and analytic approaches
We consider, in the special case of certain one-parameter families of Jacobians of curves defined over a number field, the problem of how the property that the generic fiber of such a family is absolutely simple ‘spreads’ to other fibers. We show that this question can be approached using arithmetic geometry or with more analytic methods based on sieve theory. In the first setting, non-trivial ...
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ژورنال
عنوان ژورنال: Journal of the London Mathematical Society
سال: 2009
ISSN: 0024-6107
DOI: 10.1112/jlms/jdp021