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On complete intersections with trivial canonical class |
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| Authors: | Lev A Borisov Zhan Li |
| Institution: | Mathematics Department, Rutgers University, 110 Frelinghuysen Rd, Piscataway, NJ 08540, USA |
| Abstract: | 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. |
| Keywords: | Fano varieties Calabi&ndash Yau varieties Hodge numbers Batyrev&ndash Borisov construction Complete intersections |
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