Uniformity of stably integral points on principally polarized abelian varieties of dimension ≤2
نویسندگان
چکیده
منابع مشابه
Uniformity of Stably Integral Points on Principally Polarized Abelian Varieties of Dimension
The purpose of this paper is to prove, assuming that the conjecture of Lang and Vojta holds true, that there is a uniform bound on the number of stably integral points in the complement of the theta divisor on a principally polarized abelian surface defined over a number field. Most of our argument works in arbitrary dimension and the restriction on the dimension ≤ 2 is used only at the last st...
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Copyright and reuse: The Warwick Research Archive Portal (WRAP) makes this work of researchers of the University of Warwick available open access under the following conditions. This article is made available under the Creative Commons Attribution 4.0 International license (CC BY 4.0) and may be reused according to the conditions of the license. For more details see: A note on versions: The ver...
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For any n ≥ 2 we study the group algebra decomposition of an ([ 2 ] + 1)dimensional family of principally polarized abelian varieties of dimension n with an action of the dihedral group of order 2n. For any odd prime p, n = p and n = 2p we compute the induced polarization on the isotypical components of these varieties and some other distinguished subvarieties. In the case of n = p the family c...
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ژورنال
عنوان ژورنال: Israel Journal of Mathematics
سال: 2001
ISSN: 0021-2172,1565-8511
DOI: 10.1007/bf02802511