Hermite--Einstein metrics in singular settings

In this article we pursue the following main goals. In the first place, we establish the existence of "estimable" Hermite--Einstein metrics for stable reflexive coherent sheaves on compact normal K\"ahler spaces. If moreover the background variety has klt singularities, we obtain a mu...

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Hauptverfasser:	Cao, Junyan, Graf, Patrick, Naumann, Philipp, Paun, Mihai, Peternell, Thomas, Wu, Xiaojun
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Algebraic Geometry Mathematics - Complex Variables Mathematics - Differential Geometry
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Zusammenfassung:	In this article we pursue the following main goals. In the first place, we establish the existence of "estimable" Hermite--Einstein metrics for stable reflexive coherent sheaves on compact normal K\"ahler spaces. If moreover the background variety has klt singularities, we obtain a much more precise result.
DOI:	10.48550/arxiv.2303.08773