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math.DG2026
Asymptotic expansion of the variation of the Quillen metric and its moment map interpretation
Kiyoon Eum
In Kähler geometry, the Donaldson--Fujiki moment map picture interprets the scalar curvature of a Kähler metric as a moment map on the space of compatible almost complex structur…
math.DG2025
Partition functions of determinantal point processes on polarized Kähler manifolds
Kiyoon Eum
In this paper, we study the full asymptotic expansion of the partition functions of determinantal point processes defined on a polarized Kähler manifold. We show that the coeffici…