3 papers
math.AG2020
The period-index problem for elliptic curves and the essential dimension of Picard stacks
Anningzhe Gao
In this paper, we will consider the period index problems of elliptic curves and introduce a value called generic index which is closed related to the essential dimension of Picard…
math.AG2019
Essential dimension of the moduli stack of polarized K3 surfaces
Anningzhe Gao
We will calculate the essential dimension of the moduli stack of polarized K3 surfaces, including the positive char case.
math.AG2018
Tate Conjecture And Finiteness of Abelian Varieties over Finite Field
Anningzhe Gao
In this paper we will prove that Tate conjecture of abelian varieties over finite field is equivalent to the finiteness of isomorphism classes of abelian varieties with a fixed dim…