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math.CV2020★ 6 cited
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…
math.CV2017★ 1 cited
On the Donaldson-Uhlenbeck compactification of instanton moduli spaces on class VII surfaces
Nicholas Buchdahl, Andrei Teleman, Matei Toma
We study the following question: Let be a compact Gauduchon surface, be a differentiable rank vector bundle on , be a fixed holomorphic struc…
math.CV2016★ 14 cited
A continuity theorem for families of sheaves on complex surfaces
Nicholas Buchdahl, Andrei Teleman, Matei Toma
We prove that any flat family of rank 2 torsion-free sheaves on a Gauduchon surface defines a continuous map on the semi-stable locus $U^{\mathrm {ss}}:…