On complete intersections with trivial canonical class
classification
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keywords
canonicalclasscompleteintersectionsresultstrivialallowedbase
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We prove birational boundedness results on complete intersections with trivial canonical class of base point free divisors in (some version of) Fano varieties. Our results imply in particular that Batyrev-Borisov toric construction produces only a bounded set of Hodge numbers in any given dimension, even as the codimension is allowed to grow.
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