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math.AG2025
Fibering out Calabi-Yau motives
Kilian Bönisch, Vasily Golyshev, Albrecht Klemm
We prove the modularity of mixed periods associated with singular fibers of specific families of Calabi-Yau threefolds. This is done by "fibering out", i.e. by expressing these per…
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…