Characterization of abelian varieties
Yujiro Kawamata (1981)
Compositio Mathematica
Similarity:
Yujiro Kawamata (1981)
Compositio Mathematica
Similarity:
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...
Paolo Cascini (2006)
Open Mathematics
Similarity:
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.
J. P. Murre (1973)
Compositio Mathematica
Similarity:
Dan Abramovich (1994)
Compositio Mathematica
Similarity:
Jungkai Alfred Chen, Christopher D. Hacon (2004)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Similarity:
Christopher D. Hacon, Sándor J. Kovács (2005)
Annales scientifiques de l'École Normale Supérieure
Similarity: