4 citations · 8 across the 6 of their papers we have counts for
6 papers
A Note on Systems of Realizations on Shimura Varieties
Ziquan Yang
Let be a Shimura datum of abelian type. It is well known that the corresponding Shimura variety should be a moduli space of abelian motives equipped wi…
On the Tate conjecture for divisors on varieties with in positive characteristics
Paul Hamacher, Ziquan Yang, Xiaolei Zhao
We prove that the Tate conjecture for divisors is ''generically true'' for mod p reductions of complex projective varieties with , under a mild assumption on moduli.…
The Tate Conjecture for Motivic Endomorphisms of K3 Surfaces over Finite Fields
Ziquan Yang
The Tate conjecture for squares of K3 surfaces over finite fields was recently proved by Ito-Ito-Koshikawa. We give a more geometric proof when the characteristic is at least 5. Th…
Twisted Derived Equivalences and Isogenies between K3 Surfaces in Positive Characteristic
Daniel Bragg, Ziquan Yang
We study isogenies between K3 surfaces in positive characteristic. Our main result is a characterization of K3 surfaces isogenous to a given K3 surface in terms of certain inte…
On Irreducible Symplectic Varieties of -type in Positive Characteristic
Ziquan Yang
We show that there is a good notion of irreducible sympelectic varieties of -type over an arbitrary field of characteristic zero or . Then we construc…
Isogenies between K3 Surfaces over
Ziquan Yang
We generalize Mukai and Shafarevich's definitions of isogenies between K3 surfaces over to an arbitrary perfect field and describe how to construct isogenous K3 surfac…