42 citations · 248 across the 26 of their papers we have counts for
14 papers · 1 filter
Twisted scalar curvature as a moment map
Ruadhaí Dervan, Thomas Murphy, Julius Ross +2
We develop the moment map theory of the twisted scalar curvature of a Kähler metric. Primarily, we introduce a coupled system of equations on a holomorphic submersion intertwining…
Moment map, convex function and extremal point
King Leung Lee, Jacob Sturm, Xiaowei Wang
The moment map is a central concept in the study of Hamiltonian actions of compact Lie groups on symplectic manifolds. In this short note, we propose a theory of moment map…
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 over a punctured curve can be uniquely completed (after possible base change) by inserting certain stab…
Continuity of the Weil-Petersson potential
Jian Song, Jacob Sturm, Xiaowei Wang
Let (resp. ) be the the moduli space of -dimensional Kähler-Einstein manifolds (resp. varieties) with ample. We prove t…
Riemannian geometry of Kahler-Einstein currents III: compactness of Kahler-Einstein manifolds of negative scalar curvature
Jian Song, Jacob Sturm, Xiaowei Wang
Let be the set of -dimensional compact Kahler-Einstein manifolds satisfying with volume bounded above by . We prove that after pass…
Convergence of the conical Ricci flow on S2 to a soliton
D. H. Phong, Jian Song, Jacob Sturm +1
In our previous work [PSSW], we showed that the Ricci flow on S^2 whose initial metric has conical singularities \sum_{j=1}^k β_j[p_j] converges to a constant curvature metric with…