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math.AG2026
Local obstructions to the surjectivity of spectral morphisms
Siqi He, Jie Liu, Siqing Zhang
Chen and Ngo showed that the Hitchin morphism for Higgs bundles on a projective manifold factors through a closed subscheme of the Hitchin base called the spectral base, and th…
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…