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On monomial curves obtained by gluing (1303.3789v1)
Published 15 Mar 2013 in math.AC and math.AG
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.
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