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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 2021Show all

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math.DG2021

Asymptotically Calabi metrics and weak Fano manifolds

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

We show that any asymptotically Calabi manifold which is Calabi-Yau can be compactified complex analytically to a weak Fano manifold. Furthermore, the Calabi-Yau structure arises f…

math.DG2021★ 3 cited

Collapsing geometry of hyperkähler 4-manifolds and applications

Song Sun, Ruobing Zhang

We investigate the collapsing geometry of hyperkähler 4-manifolds. As applications we prove two well-known conjectures in the field. (1) Any collapsed limit of unit-diameter hyperk…