2016/09/23 by Evan D. Nash, Nash, Evan D.
Computer Science · Mathematics · Physics and Astronomy · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Nonlinear Waves and Solitons #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.1609.07455
openalex publication_date 2016/09/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Recently, a theory for the tropicalization of a spherical homogeneous space G/H was developed by Tassos Vogiannou. We extend his ideas to define the tropicalization of a spherical G/H-embedding. This generalizes the construction of tropicalization of toric varieties. We also extend an alternate definition of spherical tropicalization via Gröbner theory developed by Kiumars Kaveh and Christopher Manon and show that the two notions of extended tropicalization coincide.