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.AG2024
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.AG2023
On tropical Hodge theory for tropical varieties
Ryota Mikami
To prove log-concavity of the characteristic polynomials of matroids, Adiprasito-Huh-Katz proved the Kähler package (the hard Lefschetz theorem and the Hodge-Riemann bilinear relat…