45 citations · 51 across the 8 of their papers we have counts for
8 papers
Minimal Hyperbolic Area of Teichmuller Curves in Genus Two
Xiaoyu Su, Yumin Zhong
We determine the minimum hyperbolic area of Teichmuller curves arising from holomorphic quadratic differentials on closed Riemann surfaces of genus two. The minimum is 3π/5, and it…
Frobenius induced morphisms on moduli of sheaves on curves
Jin Cao, Xiaoyu Su
We show the Frobenius pullback of a general semi-stable vector bundle in the moduli space of vector bundles with fixed rank and degree is still semi-stable by deformation trick. We…
Picard Groups of Spectral Varieties and Moduli of Higgs Sheaves
Xiaoyu Su, Bin Wang
We study moduli spaces of Higgs sheaves valued in line bundles and the associated Hitchin maps on surfaces. We first work out Picard groups of generic (very general) spectral varie…
Topological Mirror Symmetry of Parabolic Hitchin Systems
Xiaoyu Su, Bin Wang, Xueqing Wen
In this paper, we first prove the parabolic Beauvile-Narasimhan-Ramanan correspondence over an arbitrary field which generalizes the corresponding results over algebraically closed…
A Noether-Lefschetz Theorem for Spectral Varieties with Applications
Xiaoyu Su, Bin Wang
We calculate the Picard group of generic (very general) spectral varieties living in the total space of a very ample line bundle over an algebraically closed field of odd chara…
Parabolic Hitchin Maps and Their Generic Fibers
Xiaoyu Su, Bin Wang, Xueqing Wen
We set up a BNR correspondence for moduli spaces of Higgs bundles over a curve with a parabolic structure over any algebraically closed field. This leads to a concrete description…
Bigalois extensions and the graph isomorphism game
Michael Brannan, Alexandru Chirvasitu, Kari Eifler +4
We study the graph isomorphism game that arises in quantum information theory from the perspective of bigalois extensions of compact quantum groups. We show that every algebraic qu…
Global generation and very ampleness for adjoint linear series
Xiaoyu Su, Xiaokui Yang
Let be a smooth projective variety over an algebraically closed field with arbitrary characteristic. Suppose is an ample and globally generated line bundle. By…