2009/05/28 by E. Faber, Eleonore Faber, Faber, E. +3
Computer Science · Mathematics · #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #Topological and Geometric Data Analysis #math.AG #math.CO #msc:14E15 #msc:14M25
paper · pdf · doi:10.48550/arxiv.0905.4511
22 pages, 4 figures
arxiv created 2009/05/28 · arxiv updated 2009/12/01
We study blowups of affine n-space with center an arbitrary monomial ideal and call monomial ideals that render smooth blowups tame ideals. We give a combinatorial criterion to decide whether the blowup is smooth and apply this criterion to discuss a smoothing procedure proposed by Rosenberg, monomial building sets and permutohedra.