orbiAlb4/00-abstract.tex

\selectlanguage{british}

This paper surveys Campana's theory of $\cC$-pairs (or ``geometric orbifolds'')
in the complex-analytic setting, to serve as a reference for future work.
Written with a view towards applications in hyperbolicity, rational points, and
entire curves, it introduces the fundamental definitions of $\cC$-pair-theory
systematically and establishes a new notion of ``morphism''.  The new definition
agrees with notions from the literature in the smooth case, but it is better
behaved in the singular setting, perhaps more conceptual, and has functorial
properties that relate it to minimal model theory.

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