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arXiv · 1708.02957

Iitaka dimension for cycles

Brian Lehmann
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Abstract

We define the Iitaka dimension of a numerical cycle class and develop its theory. We conjecture that the Iitaka dimension is integer-valued, and give some evidence in this direction. We focus on two cases of geometric interest: Schubert cycles on Grassmannians and cycles contracted by morphisms.

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Brian Lehmann. 2017-08-09. Iitaka dimension for cycles. https://arxiv.org/abs/1708.02957

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