Author

Bai-Ting Xie

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Preprint Sep 2026

Monodromy Eigenvalues of Milnor Fibers for Line Arrangements

It is an important problem to know whether the monodromy on the cohomology of Milnor fibers associated to hyperplane arrangements is a combinatorial invariant. In this paper, we obtain a combinatorial vanishing criterion for certain eigenspaces of this algebraic monodromy in line arrangements. Combining with Hirzebruch...

Bai-Ting Xie, Cheng-Long Yu, Zhi-Wei Zheng · 0 citations

Preprint Sep 2026

Small-Subgroup Criteria for Liftability of Automorphism Groups of Smooth Hypersurfaces

In this paper, building on our previous Sylow criteria, we establish small-subgroup criteria of liftability and $F$-liftability for the linear automorphism group $G$ of smooth hypersurfaces $X$ over algebraically closed field of characteristic zero. When $\mathrm{dim} X = p-2$ for some odd prime $p$, we prove that ($F$...

Bai-Ting Xie, Zhi-Wei Zheng · 0 citations