Gamma-reduction for smooth orbifolds

Benoît Claudon (1)

1 IECN - Institut Élie Cartan de Nancy

The aim of this short note is to show how to construct a rationnal Remmert reduction for the universal cover of a smooth Kähler orbifold. Doins this, we are led to introduce some singular Kähler metrics adapted to the orbifold structure.

Mots clés: smooth orbifolds; universal cover; singular Kähler metric; Shafarevich maps

Domaines: Géométrie algébrique [math.AG]; Variables complexes [math.CV]

Benoît Claudon. Gamma-reduction for smooth orbifolds. Manuscripta mathematica, 2008, 127 (4), pp.521-532. ⟨hal-00226344⟩