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math.AG2026
Monodromy rank and the semisimple Mumford-Tate conjecture for hyper-Kähler varieties
Zhichao Tang, Haitao Zou
We study the Mumford-Tate conjecture for hyper-Kähler varieties. We identify the Mumford-Tate group with a Levi factor of the connected total -adic monodromy group. It follow…
math.AG2025
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.…
math.AG2025
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…