论文标题
某些ABELIAN品种的同基因在有限田中，P级为零
Isogenies of certain abelian varieties over finite fields with p-ranks zero
论文作者
论文摘要
我们研究了某些阿伯利亚品种在有限磁场上具有非交通性内态代数代数的同生，以期在基于亚等级的密码学中的潜在用途。特别是，我们表明，在内态代数中，任何两个具有内态秩的阿贝尔品种都具有最大的序列。
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.
