Gamma-reduction for smooth orbifolds
Beno\^it Claudon (IECN)
TL;DR
This paper introduces a method to construct a rational Remmert reduction for the universal cover of smooth Kähler orbifolds, involving the development of singular Kähler metrics suited to orbifold structures.
Contribution
It presents a novel approach to perform rational Remmert reduction on universal covers of smooth Kähler orbifolds using adapted singular Kähler metrics.
Findings
Construction of rational Remmert reduction for orbifolds.
Introduction of singular Kähler metrics tailored to orbifold structures.
Framework applicable to universal covers of smooth Kähler orbifolds.
Abstract
The aim of this short note is to show how to construct a rationnal Remmert reduction for the universal cover of a smooth K\"ahler orbifold. Doins this, we are led to introduce some singular K\"ahler metrics adapted to the orbifold structure.
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Taxonomy
TopicsGeometry and complex manifolds · Advanced Algebra and Geometry · Algebraic Geometry and Number Theory