Subsheaves of the cotangent bundle |
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Authors: | Paolo Cascini |
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Affiliation: | (1) Department of Mathematics, University of California at Santa Barbara, Santa Barbara, CA 93106, USA |
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Abstract: | 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. |
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Keywords: | Kodaira dimension birational geometry |
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