Xiaowei Wang

activity

20042026

most citedAlgebraicity of the Metric Tangent Cones and Equivariant K-stability

42 citations · 248 across the 26 of their papers we have counts for

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Showing 2020 · math.DGShow all

3 papers · 2 filters

math.DG2020

An Analytic Proof of the Stable Reduction Theorem

Jian Song, Jacob Sturm, Xiaowei Wang

The stable reduction theorem says that a family of curves of genus $g \geq 2$ over a punctured curve can be uniquely completed (after possible base change) by inserting certain stab…

math.DG2020★ 3 cited

Continuity of the Weil-Petersson potential

Jian Song, Jacob Sturm, Xiaowei Wang

Let $M_{KSB}$ (resp. $M_{KSB}^{'}$ ) be the the moduli space of $n$ -dimensional Kähler-Einstein manifolds (resp. varieties) $X$ with $K_{X}$ ample. We prove t…

math.DG2020★ 7 cited

Riemannian geometry of Kahler-Einstein currents III: compactness of Kahler-Einstein manifolds of negative scalar curvature

Jian Song, Jacob Sturm, Xiaowei Wang

Let $K (n, V)$ be the set of $n$ -dimensional compact Kahler-Einstein manifolds $(X, g)$ satisfying $R i c (g) = - g$ with volume bounded above by $V$ . We prove that after pass…