71 citations · 539 across the 32 of their papers we have counts for
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math.DG2019★ 9 cited
Reflexive sheaves, Hermitian-Yang-Mills connections, and tangent cones
Xuemiao Chen, Song Sun
In this paper we give a complete algebro-geometric characterization of analytic tangent cones of admissible Hermitian-Yang-Mills connections over any reflexive sheaves.
math.DG2019★ 14 cited
Complex structure degenerations and collapsing of Calabi-Yau metrics
Song Sun, Ruobing Zhang
In this paper, we make progress on understanding the collapsing behavior of Calabi-Yau metrics on a degenerating family of polarized Calabi-Yau manifolds. In the case of a family o…
math.DG2019★ 28 cited
Classification results for expanding and shrinking gradient Kähler-Ricci solitons
Ronan J. Conlon, Alix Deruelle, Song Sun
We first show that a Kähler cone appears as the tangent cone of a complete expanding gradient Kähler-Ricci soliton with quadratic curvature decay with derivatives if and only if it…