Kähler families of Green’s functions
Copyright policy )Kähler families of Green’s functions
In a remarkable series of works, Guo, Phong, Song, and Sturm have obtained key uniform estimates for the Green’s functions associated with certain Kähler metrics. In this note, we broaden the scope of their techniques by removing one of their assumptions and allowing the complex structure to vary. We apply our results to various families of canonical Kähler metrics.
Complex Monge-Ampère operators, Mathematics - Differential Geometry, Mathematics - Complex Variables, [MATH] Mathematics [math], Monge-Ampère equation, Green's function, Kähler manifolds, Kähler-Ricci flow, Mathematics - Algebraic Geometry, Mathematics - Analysis of PDEs, Differential Geometry (math.DG), Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals, FOS: Mathematics, Complex Variables (math.CV), Plurisubharmonic functions and generalizations, Algebraic Geometry (math.AG), Analysis of PDEs (math.AP)
Complex Monge-Ampère operators, Mathematics - Differential Geometry, Mathematics - Complex Variables, [MATH] Mathematics [math], Monge-Ampère equation, Green's function, Kähler manifolds, Kähler-Ricci flow, Mathematics - Algebraic Geometry, Mathematics - Analysis of PDEs, Differential Geometry (math.DG), Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals, FOS: Mathematics, Complex Variables (math.CV), Plurisubharmonic functions and generalizations, Algebraic Geometry (math.AG), Analysis of PDEs (math.AP)
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).5 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!