3 papers
math.AG2026
Three vignettes on hypergeometric normal functions
Matt Kerr
We use Hodge-theoretic methods to (i) explain number-theoretic identities of a type recently considered by Guillera and Zudilin, (ii) describe the Frobenius dual of Abel-Jacobi per…
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
The arithmetic of Calabi-Yau motives and mobile higher regulators
Vasily Golyshev, Matt Kerr
We construct elements in the motivic cohomology of certain rank 4 weight 3 Calabi--Yau motives, and write down explicit expressions for the regulators of these elements in the cont…