论文标题
扭转统一的codimension 2循环超高的阿伯利亚品种
Torsion codimension 2 cycles on supersingular abelian varieties
论文作者
论文摘要
我们证明，扭转编码2代数循环模量对超词ABELIAN品种的合理等效性在代数上等同于零。结果，我们证明，同源等效性与代数2的代数循环的代数等效相吻合，在有限场的代数关闭上，在超高的阿贝尔品种上的代数循环。
We prove that torsion codimension 2 algebraic cycles modulo rational equivalence on supersingular abelian varieties are algebraically equivalent to zero. As a consequence, we prove that homological equivalence coincides with algebraic equivalence for algebraic cycles of codimension 2 on supersingular abelian varieties over the algebraic closure of finite fields.
