4 citations · 12 across the 16 of their papers we have counts for
17 papers
Geometric Detection and Finiteness of Crystalline Local Systems
Zhenmou Liu, Jinbang Yang
We prove a geometric detection theorem for crystalline local systems on the generic fiber of a smooth proper scheme over the ring of integers of a -adic field. The special-fiber…
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 pa…
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…
Constructing families of abelian varieties of -type over -punctured complex projective line via -adic Hodge theory and Langlands correspondence and application to algebraic solutions of Painleve VI equation
Jinbang Yang, Kang Zuo
we construct infinitely many non-isotrivial families of abelian varieties of -type over four punctured projective lines with bad reduction of type- via -adic…
Constructing algebraic solutions of Painleve VI equation from -adic Hodge theory and Langlands Correspondence
Jinbang Yang, Kang Zuo
We construct infinitely many non-isotrivial families of abelian varieties over given four punctured projective lines. These families lead to algebraic solutions of Painleve VI equa…
Constructing abelian varieties from rank 2 Galois representations
Raju Krishnamoorthy, Jinbang Yang, Kang Zuo
Let be a smooth affine curve over a number field with a compactification and let be a rank , geometrically irreducible -local syste…
Strict Arakelov inequality for a family of varieties of general type
Xin Lu, Jinbang Yang, Kang Zuo
Let be a semistable non-isotrivial family of -folds over a smooth projective curve with discriminant locus and with general fibre of general ty…
A note on p-adic Simpson correspondence
Jinbang Yang, Kang Zuo
Given a proper smooth -adic variety, we show a comparison theorem for the -adic Simpson correspondence constructed by Faltings and Riemann-Hilbert correspondence constructed…
Finiteness of logarithmic crystalline representations II
Raju Krishnamoorthy, Jinbang Yang, Kang Zuo
Let be an unramified -adic local field and let be the ring of integers of . Let be a smooth proper scheme together with a simple normal crossings divisor an…
Finiteness of logarithmic crystalline representations
Raju Krishnamoorthy, Jinbang Yang, Kang Zuo
Let be an unramified -adic local field and let be the ring of integers of . Let be a smooth proper scheme together with a normal crossings divisor. We show…
Deformation theory of periodic Higgs-de Rham flows
Raju Krishnamoorthy, Jinbang Yang, Kang Zuo
In this note we study the deformation theory of periodic (logarithmic) Higgs-de Rham flows. Under suitable numerical assumptions, this is equivalent to the deformation theory of to…
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…
Base change of twisted Fontaine-Faltings modules and Twisted Higgs-de Rham flows over very ramified valuation rings
Ruiran Sun, Jinbang Yang, Kang Zuo
In this short notes, we prove a stronger version of Theorem 0.6 in our previous paper arXiv:1709.01485: Given a smooth log scheme $(\mathcal{X} \supset \mathcal{D})_{W(\mathbb{F}_q…
Projective Crystalline Representations of Étale Fundamental Groups and Twisted Periodic Higgs-de Rham Flow
Ruiran Sun, Jinbang Yang, Kang Zuo
This paper contains three new results. {\bf 1}.We introduce new notions of projective crystalline representations and twisted periodic Higgs-de Rham flows. These new notions genera…
On a conjecture of Wan about limiting Newton polygons
Yi Ouyang, Jinbang Yang
We show that for a monic polynomial over a number field containing a global permutation polynomial of degree as its composition factor, the Newton Polygon of $f\mod…