Displaying similar documents to “Orbifolds, special varieties and classification theory: an appendix”

Orbifolds, special varieties and classification theory

Frédéric Campana (2004)

Annales de l’institut Fourier

Similarity:

This article gives a description, by means of functorial intrinsic fibrations, of the geometric structure (and conjecturally also of the Kobayashi pseudometric, as well as of the arithmetic in the projective case) of compact Kähler manifolds. We first define special manifolds as being the compact Kähler manifolds with no meromorphic map onto an orbifold of general type, the orbifold structure on the base being given by the divisor of multiple fibres. We next show that rationally connected...

Irreducible components of rigid spaces

Brian Conrad (1999)

Annales de l'institut Fourier

Similarity:

This paper lays the foundations for the global theory of irreducible components of rigid analytic spaces over a complete field k . We prove the excellence of the local rings on rigid spaces over k . This is used to prove the standard existence theorems and to show compatibility with the notion of irreducible components for schemes and formal schemes. Behavior with respect to extension of the base field is also studied. It is often necessary to augment scheme-theoretic techniques with other...