2013/03/15 by Raheleh Jafari, Jafari, Raheleh, Santiago Zarzuela Armengou +1 · 1 citation
Computer Science · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.1303.3789
openalex publication_date 2013/03/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study arithmetic properties of tangent cones associated to affine monomial curves, using the concept of gluing. In particular we characterize the Cohen-Macaulay and Gorenstein properties of tangent cones of some families of monomial curves obtained by gluing. Moreover, we provide new families of monomial curves with non--decreasing Hilbert functions.