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math.AG2025
Hodge adjacency conditions for singularities
RJ Acuna, Matt Kerr
We prove compatibility relations between mixed Hodge numbers of -Du Bois fibers in flat projective families and versal deformations of isolated -Du Bois singularities. These…
math.AG2024
Real regulator maps with finite 0-locus
RJ Acuna, Devin Akman, Matt Kerr
A Laurent polynomial in two variables is tempered if its edge polynomials are cyclotomic. Variation of coefficients leads to a family of smooth complete genus curves carrying a…