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Paper 2020/212
Isogenies of certain abelian varieties over finite fields with p-ranks zero
Steve Thakur
Abstract
We study the isogenies of certain abelian varieties over finite fields with non-commutative endomorphism algebras with a view to potential use in isogeny-based cryptography. In particular, we show that any two such abelian varieties with endomorphism rings maximal orders in the endomorphism algebra are linked by a cyclic isogeny of prime degree.
Metadata
- Available format(s)
- Category
- Foundations
- Publication info
- Preprint. MINOR revision.
- Keywords
- Isogeniesabelian varietiesnon-commutative endomorphism rings
- Contact author(s)
- stevethakur01 @ gmail com
- History
- 2020-05-19: last of 2 revisions
- 2020-02-19: received
- See all versions
- Short URL
- https://ia.cr/2020/212
- License
-
CC BY