Holomorphic one-forms on varieties of general type

Christopher D. Hacon; Sándor J. Kovács

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Displaying similar documents to “Holomorphic one-forms on varieties of general type”

Varieties whose hyperplane section are $ℙ_{ℂ}^{k}$ bundles

Maria Lucia Fania, Andrew John Sommese (1988)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Subsheaves of the cotangent bundle

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.