Orbifolds, special varieties and classification theory: an appendix
Copyright policy )Orbifolds, special varieties and classification theory: an appendix
For any compact Kähler manifold X and for any equivalence relation generated by a symmetric binary relation with compact analytic graph in X × 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.
Zariski regularity, \(n\)-folds (\(n>4\)), stability, Kähler manifolds, Hyperbolic and Kobayashi hyperbolic manifolds, Compact Kähler manifolds: generalizations, classification, meromorphic quotients, complex analytic spaces, Transcendental methods, Hodge theory (algebro-geometric aspects), Classification theorems for complex manifolds, fibrations, Rational and birational maps
Zariski regularity, \(n\)-folds (\(n>4\)), stability, Kähler manifolds, Hyperbolic and Kobayashi hyperbolic manifolds, Compact Kähler manifolds: generalizations, classification, meromorphic quotients, complex analytic spaces, Transcendental methods, Hodge theory (algebro-geometric aspects), Classification theorems for complex manifolds, fibrations, Rational and birational maps
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