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arXiv · 2608.07836

The dimension threshold for Batyrev's non-negativity conjecture on stringy Hodge numbers

Jiahui Huang·Matthew Satriano
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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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Jiahui Huang, Matthew Satriano. 2026-08-08. The dimension threshold for Batyrev's non-negativity conjecture on stringy Hodge numbers. https://arxiv.org/abs/2608.07836

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