The dimension threshold for Batyrev's non-negativity conjecture on stringy Hodge numbers
Jiahui Huang, Matthew Satriano
math.AGarXiv:2608.07836
Abstract
Batyrev's non-negativity conjecture has been a major guiding conjecture in mirror symmetry, motivic integration, and the McKay correspondence. We show the conjecture is true in dimension at most 4 and give counter-examples in dimension at least 5.
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