Yuto Yamamoto

collaborators

3 papers

math.AG2026

Non-archimedean SYZ fibrations via tropical contractions

Yuto Yamamoto

We consider a toric degeneration of Calabi--Yau complete intersections of Batyrev--Borisov in the Gross--Siebert program. The author showed in his previous work that there exists a…

math.AG2026

Lifts of cycles in tropical hypersurfaces and the Gamma conjecture

Yuto Yamamoto

For a complex hypersurface of dimension $d \geq 1$ in a toric variety, we construct lifts of tropical $(p, q)$ -cycles with $p + q = d$ in the associated tropical hypersurface. The trop…

math.AG2025

Period integrals of hypersurfaces via tropical geometry

Yuto Yamamoto

Let ${Z_{t}}_{t}$ be a one-parameter family of complex hypersurfaces of dimension $d \geq 1$ in a toric variety. We compute asymptotics of period integrals for $\left\{…