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20082026
most citedKahler-Einstein metrics on Fano manifolds, III: limits as cone angle approaches 2π and completion of the main proof

71 citations · 539 across the 32 of their papers we have counts for

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Showing 2018Show all

3 papers · 1 filter

math.DG2018★ 6 cited

Algebraic tangent cones of reflexive sheaves

Xuemiao Chen, Song Sun

We study the notion of algebraic tangent cones at singularities of reflexive sheaves. These correspond to extensions of reflexive sheaves across a negative divisor. We show the exi…

math.DG2018★ 24 cited

Nilpotent structures and collapsing Ricci-flat metrics on K3 surfaces

Hans-Joachim Hein, Song Sun, Jeff Viaclovsky +1

We exhibit families of Ricci-flat Kahler metrics on K3 surfaces which collapse to an interval, with Tian-Yau and Taub-NUT metrics occurring as bubbles. There is a corresponding con…

math.DG2018★ 9 cited

Analytic tangent cones of admissible Hermitian-Yang-Mills connections

Xuemiao Chen, Song Sun

In this paper we study the analytic tangent cones of admissible Hermitian-Yang-Mills connections near a homogeneous singularity of a reflexive sheaf, and relate it to the Harder-Na…