On holomorphic fields of complex line elements with isolated singularities
A. Van de Ven (1964)
Annales de l'institut Fourier
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A. Van de Ven (1964)
Annales de l'institut Fourier
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Yum-Tong Siu (1993)
Annales de l'institut Fourier
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Franc Forstnerič (2001)
Annales de l’institut Fourier
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We construct closed complex submanifolds of which are differential but not holomorphic complete intersections. We also prove a homotopy principle concerning the removal of intersections with certain complex subvarieties of .
Paolo Cascini (2006)
Open Mathematics
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For any smooth projective variety, we study a birational invariant, defined by Campana which depends on the Kodaira dimension of the subsheaves of the cotangent bundle of the variety and its exterior powers. We provide new bounds for a related invariant in any dimension and in particular we show that it is equal to the Kodaira dimension of the variety, in dimension up to 4, if this is not negative.
Christopher D. Hacon, Sándor J. Kovács (2005)
Annales scientifiques de l'École Normale Supérieure
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Frédéric Campana (2004)
Annales de l’institut Fourier
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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...