Variations in the distribution of principally polarized abelian varieties among isogeny classes
نویسندگان
چکیده
We show that for a large class of rings R, the number principally polarized abelian varieties over finite field in given simple ordinary isogeny and with endomorphism ring R is equal either to 0, or ratio numbers associated up some small computable factors. This includes maximal order CM K (for which result was already known), as well generated Z by Frobenius Verschiebung.
منابع مشابه
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ژورنال
عنوان ژورنال: Annales Henri Lebesgue
سال: 2022
ISSN: ['2644-9463']
DOI: https://doi.org/10.5802/ahl.133