Iitaka dimension for cycles
classification
🧮 math.AG
keywords
cyclesdimensioniitakacasesclassconjecturecontractedcycle
read the original 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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