On Bănică sheaves and Fano manifolds
Edoardo Ballico, Jarosław A. Wisniewski (1996)
Compositio Mathematica
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Edoardo Ballico, Jarosław A. Wisniewski (1996)
Compositio Mathematica
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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.
Yujiro Kawamata (1981)
Compositio Mathematica
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José M. Muñoz Porras (1987)
Compositio Mathematica
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Olivier Debarre, Rachid Fahlaoui (1993)
Compositio Mathematica
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Mark Andrea A. De Cataldo (1998)
Annales de l'institut Fourier
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We prove a multiple-points higher-jets nonvanishing theorem by the use of local Seshadri constants. Applications are given to effectivity problems such as constructing rational and birational maps into Grassmannians, and the global generation of vector bundles.
Ciro Ciliberto, Klaus Hulek (1999)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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