3 papers
math.AG2026
Tropical cohomology via reductions of tropical varieties
Ryota Mikami
Itenberg-Katzarkov-Mikhalkin-Zharkov gave an isomorphism of tropical cohomology and cohomology of some maximally degenerate algebraic varieties. Their proof was based on tropical a…
math.AG2026
Tropical intersection homology
Ryota Mikami
Numerical equivalence of algebraic cycles is defined abstractly by intersection numbers. Classically, for smooth complex proper toric varieties, the quotients by numerical equivale…
math.AG2025
On tropical cohomology of smooth algebraic varieties
Ryota Mikami
In this paper, we give an explicit description of tropical cohomology of smooth algebraic varieties over trivially valued fields. We also construct ``monodromy weight'' spectral se…