3 papers
math.AG2026
The dimension threshold for Batyrev's non-negativity conjecture on stringy Hodge numbers
Jiahui Huang, Matthew Satriano
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 dim…
math.AG2026
A cohomological interpretation for stringy Hodge numbers
Jiahui Huang, Matthew Satriano, Jeremy Usatine
We obtain a cohomological interpretation for Batyrev's stringy Hodge numbers in the full generality in which they are defined. In a previous paper, the second and third authors use…
math.AG2025
Contact loci of semihomogeneous singularities
Eduardo de Lorenzo Poza, Jiahui Huang
Two of the main open problems in the theory of contact loci are the arc-Floer conjecture, which states that the compactly supported cohomology of the restricted -contact locus a…