4 papers
Shifted dihedral isogeny quotients and the classification of exceptional rational functions of degree five
Zhichao Tang, Xiang Fan
We give a complete classification, up to -Möbius equivalence, of exceptional rational functions of degree five over every finite field. The classification gives explicit normal…
Derived isogenies between abelian varieties
Zhiyuan Li, Ziwei Lu, Zhichao Tang
In this paper, we establish a derived Torelli Theorem for twisted abelian varieties. Starting from this, we explore the relation between derived isogenies and classical isogenies.…
Monodromy rank and the semisimple Mumford-Tate conjecture for hyper-Kähler varieties
Zhichao Tang, Haitao Zou
In this paper, we establish two main results concerning the Mumford-Tate conjecture for hyper-Kähler varieties. First, we prove the conjecture for the semisimplified -adic G…
Projective Equivalence of Smooth Hypersurfaces via Cyclic Covers
Zhiyuan Li, Zhichao Tang
In this paper, we prove that for any smooth hypersurface of degree in , the cyclic -fold cover branched along…