Author

Hai-Tao Zou

2 papers indexed here

We haven’t gathered this author’s papers yet. Follow them and we’ll fetch their work.

Not the right person? Other researchers publish under this name.

Preprint Oct 2026

Semisimplicity, purity and Mumford-Tate conjecture for hyper-K\"ahler varieties

We prove the Mumford-Tate conjecture in every degree for hyper-K\"ahler varieties over fields finitely generated over $\mathbb{Q}$. The proof establishes semisimplicity of $\ell$-adic cohomology by eliminating the unipotent radical of the algebraic monodromy group of total cohomology. We also prove the weight-monodromy...

K. Ito, Hai-Tao Zou · 0 citations

Preprint Sep 2026

Quasi-$F$-split primitive symplectic varieties in positive characteristic

Let $X$ be the good reduction of a projective hyperk\"ahler variety of dimension $2n\geq4$. We prove that $X$ is quasi-$F$-split if and only if it is Frobenius split, equivalently if $\operatorname{H}^2_{\operatorname{crys}}(X/W)[1/p]$ has a slope-zero part. Thus its quasi-$F$-split height is $1$ or $\infty$. The proof...

Hai-Tao Zou · 0 citations