2 papers
math.AG2026
Weak Hodge Theorem on Piecewise-Algebraic Spaces
Takuya Murata, Aliakbar Hosseini
We prove a weak version of the classical Hodge theorem on piecewise-algebraic spaces, a class of spaces introduced by Kontsevich and Soibelman in [KS00]. Precisely, we first prove…
math.AG2025
Maps to toric varieties, toric degenerations and integrable systems à la Harada--Kaveh
Takuya Murata, Lara Bossinger
Given a toric degeneration (a degeneration to a toric variety), over the complex numbers, we construct a surjective continuous map from a general fiber to the special fiber of the…