2013/09/16 by Martin Ulirsch, Ulirsch, Martin · 2 citations
Computer Science · Mathematics · #14T05 #20M14 #32P05 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.1309.4011
openalex publication_date 2013/09/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31
In this article we define a natural tropicalization procedure for closed subsets of log-regular varieties in the case of constant coefficients and study its basic properties. This framework allows us to generalize some of Tevelev's results on tropical compactification as well as Hacking's result on the cohomology of the link of a tropical variety to log-regular varieties.