Sur un théorème de connexité de Mumford pour les espaces homogènes

Research paper by Olivier Debarre

Indexed on: 01 Dec '96Published on: 01 Dec '96Published in: Manuscripta Mathematica


We prove some consequences of an old unpublished connectivity result of Mumford. These mostly deal with the fundamental group of some (ramified) coverings of homogeneous spaces; for example, it is shown that the fundamental group of a complex projective irreducible normal variety which is a covering of a simple (in the sense of 2.2) homogeneous space V, of degree ≤dim (V), is isomorphic to π1 (V).