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- W3105751454 abstract "Abstract In this paper we give a module-theoretic description of the isomorphism classes of abelian varieties A isogenous to $$B^r$$ <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML><mml:msup><mml:mi>B</mml:mi><mml:mi>r</mml:mi></mml:msup></mml:math> , where the characteristic polynomial g of Frobenius of B is an ordinary square-free q -Weil polynomial, for a power q of a prime p , or a square-free p -Weil polynomial with no real roots. Under some extra assumptions on the polynomial g we give an explicit description of all the isomorphism classes which can be computed in terms of fractional ideals of an order in a finite product of number fields. In the ordinary case, we also give a module-theoretic description of the polarizations of A ." @default.
- W3105751454 created "2020-11-23" @default.
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- W3105751454 date "2019-11-01" @default.
- W3105751454 modified "2023-09-27" @default.
- W3105751454 title "Computing abelian varieties over finite fields isogenous to a power" @default.
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- W3105751454 doi "https://doi.org/10.1007/s40993-019-0174-x" @default.
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