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math.AG2021★ 2 cited
A Donaldson-Uhlenbeck-Yau theorem for normal varieties and semistable bundles on degenerating families
Xuemiao Chen, Richard A. Wentworth
In this paper, we first prove a Donaldson-Uhlenbeck-Yau theorem over projective normal varieties smooth in codimension two. As a consequence we deduce the polystability of (dual) t…
math.DG2021★ 2 cited
The nonabelian Hodge correspondence for balanced hermitian metrics of Hodge-Riemann type
Xuemiao Chen, Richard A. Wentworth
This paper extends the nonabelian Hodge correspondence for Kaehler manifolds to a larger class of hermitian metrics on complex manifolds called balanced of Hodge-Riemann type. Esse…
math.DG2021
Compactness for -Yang-Mills connections
Xuemiao Chen, Richard A. Wentworth
On a Riemannian manifold of dimension we extend the known analytic results on Yang-Mills connections to the class of connections called -Yang-Mills connections, where is…