6 citations · 27 across the 31 of their papers we have counts for
6 papers · 1 filter
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,…
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…
Bogomolov's inequality for product type varieties in positive characteristic
Hao Max Sun
We prove Bogomolov's inequality for semistable sheaves on product type varieties in arbitrary characteristic. This gives the first examples of varieties with positive Kodaira dimen…
Monodromy of Rank 2 Parabolic Hitchin Systems
Georgios Kydonakis, Hao Sun, Lutian Zhao
We study the monodromy of the Hitchin fibration for moduli spaces of parabolic G-Higgs bundles in the cases when G=SL(2,R), GL(2,R) and PGL(2,R) A calculation of the orbits of the…
Deformation of Locally Free Sheaves and Hitchin Pairs over Nodal Curve
Hao Sun
In this article, we study the deformation theory of locally free sheaves and Hitchin pairs over a nodal curve. As a special case, the infinitesimal deformation of these objects giv…
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…