2004/06/23 by Christian Haase, Haase, Christian, Ilarion V. Melnikov +1 · 2 citations
Engineering · Mathematics · #52B20 (primary) 14M25 #83E30 (secondary) #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Combinatorics (math.CO) #Commutative Algebra and Its Applications #FOS: Mathematics #math.AG #math.CO #msc:14M25 #msc:52B20 #msc:83E30
paper · pdf · doi:10.48550/arxiv.math/0406485
9 pages, 2 figures
arxiv created 2004/06/23 · openalex publication_date 2004/06/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The reflexive dimension refldim(P) of a lattice polytope P is the minimal d so that P is the face of some d-dimensional reflexive polytope. We show that refldim(P) is finite for every P, and give bounds for refldim(kP) in terms of refldim(P) and k.