14 citations · 41 across the 16 of their papers we have counts for
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math.DG2019★ 14 cited
Integration by parts formula for non-pluripolar product
Mingchen Xia
In this paper, we prove the integration by parts formula for the non-pluripolar product on a compact Kähler manifold. Our result generalizes the special case of potentials with sma…
math.DG2019★ 6 cited
Mabuchi geometry of big cohomology classes with prescribed singularities
Mingchen Xia
Let be a compact Kähler unibranch complex analytic space of pure dimension. Fix a big class with smooth representative and a model potential with positive mass. We…
math.DG2019★ 6 cited
On sharp lower bounds for Calabi type functionals and destabilizing properties of gradient flows
Mingchen Xia
Let be a compact Kähler manifold with a given ample line bundle . In \cite{Don05}, Donaldson proved that the Calabi energy of a Kähler metric in is bounded from bel…