Computing square-free polarized abelian varieties over finite fields
نویسندگان
چکیده
منابع مشابه
Principally Polarized Ordinary Abelian Varieties over Finite Fields
Deligne has shown that there is an equivalence from the category of ordinary abelian varieties over a finite field A: to a category of Z-modules with additional structure. We translate several geometric notions, including that of a polarization, into Deligne's category of Z-modules. We use Deligne's equivalence to characterize the finite group schemes over k that occur as kernels of polarizatio...
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The aim of this note is to give a proof of Tate’s theorems on homomorphisms of abelian varieties over finite fields [22, 8], using ideas of [26, 27]. We give a unified treatment for both l 6= p and l = p cases. In fact, we prove a slightly stronger version of those theorems with “finite coefficients”. I am grateful to Frans Oort and Bill Waterhouse for useful discussions. My special thanks go t...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2020
ISSN: 0025-5718,1088-6842
DOI: 10.1090/mcom/3594