24 citations · 96 across the 38 of their papers we have counts for
4 papers · 1 filter
Periodicity of Hitchin's uniformizing Higgs bundles
Raju Krishnamoorthy, Mao Sheng
We link the periodicity of Hitchin's uniformizing Higgs bundle with the arithmetic geometry of its underlying curve. Some new relations are discovered. We also speculate on the who…
Periodic de Rham bundles over curves
Raju Krishnamoorthy, Mao Sheng
In this article, we introduce the notion of periodic de Rham bundles over smooth complex curves. We prove that motivic de Rham bundles over smooth complex curves are periodic. We c…
Characterization of Beauville's algebraic numbers via Hodge theory
Muxi Li, Mao Sheng
We provide a Hodge theoretical characterization of the set of algebraic numbers which arises from the complete list, due to A. Beauville, of semistable families of elliptic curves…
A note on Higgs-de Rham flows of level zero
Mao Sheng, Jilong Tong
The notion of Higgs-de Rham flows was introduced by Lan-Sheng-Zuo, as an analogue of Yang-Mills-Higgs flows in the complex nonabelian Hodge theory. In this short note we investigat…