3 papers
math.AG2025
Intersection of two quadrics: modular interpretation and Hitchin morphism
Vladimiro Benedetti, Andreas Höring, Jie Liu
The cotangent bundle of a smooth intersection of two quadrics admits a Lagrangian fibration determined by the intrinsic geometry of . We show that this fibration is a…
math.AG2024
The Spectral base and quotients of bounded symmetric domains
Siqi He, Jie Liu, Ngaiming Mok
In this article, we explore Higgs bundles on a projective manifold , focusing on their spectral bases, a concept introduced by T.Chen and B.Ngô. The spectral base is a specific…
math.AG2023
On the spectral variety for rank two Higgs bundles
Siqi He, Jie Liu
In this article, we study the Hitchin morphism over a smooth projective variety . The Hitchin morphism is a map from the moduli space of Higgs bundles to the Hitchin base, which…