97 citations · 375 across the 94 of their papers we have counts for
97 papers
On the algebraicity of non-abelian Noether-Lefschetz loci of rank-two real local systems
Tianzhi Hu, Kang Zuo
As a non-abelian analogue of the Hodge locus, Simpson introduced the non-abelian Noether--Lefschetz locus and conjectured its algebraicity for PVHS. In this paper, we st…
Holomorphic isomonodromic deformations of Higgs bundles: absolute lifting, spectral flatness, and nilpotent rigidity
Tianzhi Hu, Mai Shi, Kang Zuo
Let be a smooth projective family, and fix a semisimple flat bundle on a fiber . Its isomonodromic deformation determines a holomorphic section $σ_{\mathrm{dR}}:S\t…
Isomonodromic deformations of Higgs bundles and characterization of the non-abelian Noether--Lefschetz locus
Tianzhi Hu, Ruiran Sun, Jinbang Yang +1
Let be a smooth proper family of smooth projective varieties. An irreducible complex local system on a fiber admits an isomonodromic deformation, hence determines a holo…
Higher order isomonodromic deformation of Higgs bundles and a characterization of the non-abelian Noether-Lefschetz locus
Tianzhi Hu, Ruiran Sun, Jinbang Yang +1
The purpose of this paper is to establish a local theory of the non-abelian Noether--Lefschetz locus. Given a family of projective manifolds over a complex variety , the isomono…
Rigidity Criterion for Certain Calabi-Yau Families
Ruiran Sun, Chenglong Yu, Kang Zuo
We prove a new rigidity criterion for families of polarized Calabi--Yau manifolds. If, near a boundary point, the total space is smooth, the relative canonical bundle is trivial, a…
Non-Abelian Kodaira-Spencer Map and non-existence of holomorphic isomonodromic deformation of Higgs bundles over Teichmüller spaces
Tianzhi Hu, Ruiran Sun, Kang Zuo
We define the isomonodromic deformation of a Higgs bundle on a compact Riemann surface via the Hitchin--Simpson correspondence and the isomonodromic deformation of the associated l…