3 papers
math.AG2019
Moduli Problem of Hitchin Pairs over Deligne-Mumford Stack
Hao Sun
We define the moduli problem of Hitchin pairs over Deligne-Mumford Stack and prove this moduli problem is represented by a separated and locally finitely presented algebraic space,…
math.AG2019
Bridgeland stability conditions on some threefolds of general type
Hao Sun
We prove the Bogomolov-Gieseker type inequality conjectured by Bayer, Macri and Toda for some products of three curves. This gives the first examples of Bridgeland stability condit…
math.AG2019
The Beauville-Narasimhan-Ramanan correspondence for twisted Higgs -bundles and components of parabolic -Higgs moduli Spaces
Georgios Kydonakis, Hao Sun, Lutian Zhao
We generalize the classical Beauville-Narasimhan-Ramanan correspondence to the case of parabolic Higgs bundles with regular singularities and Higgs -bundles. Using this correspo…