On monomial curves obtained by gluing
Commutative Algebra
2013-03-18 v1 Algebraic Geometry
Abstract
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.
Keywords
Cite
@article{arxiv.1303.3789,
title = {On monomial curves obtained by gluing},
author = {Raheleh Jafari and Santiago Zarzuela Armengou},
journal= {arXiv preprint arXiv:1303.3789},
year = {2013}
}
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21 pages