5 papers
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…
Logarithmic Crystalline Representations
Zhenmou Liu, Jinbang Yang, Kang Zuo
In 1989, Faltings proved the comparison theorem between étale cohomology and crystalline cohomology by studying Fontaine-Faltings modules and crystalline representations. In his p…
A Lefschetz theorem for crystalline representations
Raju Krishnamoorthy, Jinbang Yang, Kang Zuo
As a corollary of nonabelian Hodge theory, Simpson proved a strong Lefschetz theorem for complex polarized variations of Hodge structure. We show an arithmetic analog. Our primary…
Parabolic Crystalline Representations
Zhenmou Liu, Jinbang Yang, Kang Zuo
The theory of crystalline representations was established by Fontaine and Laffaille, Faltings, and others. In this paper, we develop a parabolic version of this theory. The key poi…