Orbifolds, special varieties and classification theory: an appendix

Campana, Frédéric. "Orbifolds, special varieties and classification theory: an appendix." Annales de l’institut Fourier 54.3 (2004): 631-665. <http://eudml.org/doc/116121>.

@article{Campana2004,
abstract = {For any compact Kähler manifold $X$ and for any equivalence relation generated by a symmetric binary relation with compact analytic graph in $X \times X$, the existence of a meromorphic quotient is known from Inv. Math. 63 (1981). We give here a simplified and detailed proof of the existence of such quotients, following the approach of that paper. These quotients are used in one of the two constructions of the core of $X$ given in the previous paper of this fascicule, as well as in many other questions.},
affiliation = {Université Nancy 1, département de mathématiques, BP 239, 54506 Vandoeuvre-les-Nancy (France)},
author = {Campana, Frédéric},
journal = {Annales de l’institut Fourier},
keywords = {canonical bundle; Kodaira dimension; orbifold; Kähler manifold; rational connectedness; fibration; Albanese map; Kobayashi pseudometric; rational point; Kähler manifolds; fibrations; complex analytic spaces; meromorphic quotients; Zariski regularity; stability},
language = {eng},
number = {3},
pages = {631-665},
publisher = {Association des Annales de l'Institut Fourier},
title = {Orbifolds, special varieties and classification theory: an appendix},
url = {http://eudml.org/doc/116121},
volume = {54},
year = {2004},
}

TY - JOUR
AU - Campana, Frédéric
TI - Orbifolds, special varieties and classification theory: an appendix
JO - Annales de l’institut Fourier
PY - 2004
PB - Association des Annales de l'Institut Fourier
VL - 54
IS - 3
SP - 631
EP - 665
AB - For any compact Kähler manifold $X$ and for any equivalence relation generated by a symmetric binary relation with compact analytic graph in $X \times X$, the existence of a meromorphic quotient is known from Inv. Math. 63 (1981). We give here a simplified and detailed proof of the existence of such quotients, following the approach of that paper. These quotients are used in one of the two constructions of the core of $X$ given in the previous paper of this fascicule, as well as in many other questions.
LA - eng
KW - canonical bundle; Kodaira dimension; orbifold; Kähler manifold; rational connectedness; fibration; Albanese map; Kobayashi pseudometric; rational point; Kähler manifolds; fibrations; complex analytic spaces; meromorphic quotients; Zariski regularity; stability
UR - http://eudml.org/doc/116121
ER -