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Counting the number of the twists of certain polarized abelian varieties |
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| Affiliation: | 1. Department of Mathematics, and Institute of Pure and Applied Mathematics at Jeonbuk National University, Baekje-daero, Deokjin-gu, Jeonju-si, Jeollabuk-do, 54896, South Korea;2. Department of Mathematics Education, Chonnam National University, 77, Yongbong-ro, Buk-gu, Gwangju 61186, South Korea |
| Abstract: | We count the number of isomorphism classes of degree d-twists of some polarized abelian varieties of dimension g over finite fields where either g is an odd prime or else . This can be seen as a higher dimensional analogue of the counting problem for the case of elliptic curves. |
| Keywords: | Twists Polarized abelian varieties Galois cohomology |
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