40 citations · 164 across the 29 of their papers we have counts for
36 papers
Curvature of higher direct images of sheaves of twisted holomorphic forms
Young-Jun Choi, Georg Schumacher
This paper investigates the curvature properties of higher direct images , where is a family of compact Kähler manifolds equipped with a he…
Estimates for the average scalar curvature of the Weil-Petersson metric on the Moduli space
Georg Schumacher, Stefano Trapani
We give a precise estimate for the average scalar curvature of the Weil-Petersson metric on the moduli space as up to the order .
Deformation Theory of Holomorphic Cartan Geometries, II
Indranil Biswas, Sorin Dumitrescu, Georg Schumacher
In this continuation of \cite{BDS}, we investigate the deformations of holomorphic Cartan geometries where the underlying complex manifold is allowed to move. The space of infinite…
An Analytic Application of Geometric Invariant Theory II: Coarse Moduli Spaces
Nicholas Buchdahl, Georg Schumacher
In [arXiv:2008.04625] the authors constructed a classifying space for polystable holomorphic vector bundles on a compact Kähler manifold using analytic GIT theory. The aim of this…
An Analytic Application of Geometric Invariant Theory
Nicholas Buchdahl, Georg Schumacher
Given a compact Kähler manifold, Geometric Invariant Theory is applied to construct analytic GIT-quotients that are local models for a classifying space of (poly)stable holomorphic…
Polystability and the Hitchin-Kobayashi correspondence
Nicholas Buchdahl, Georg Schumacher
Using a quasi-linear version of Hodge theory, holomorphic vector bundles in a neighbourhood of a given polystable bundle on a compact Kaehler manifold are shown to be (poly)stable…