Akademik Veri Yönetim Sistemi
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, cilt.98, sa.2, ss.230-238, 2018 (SCI-Expanded)
We study an operation, that we call lifting, creating nonisomorphic monomial curves from a single monomial curve. Our main result says that all but finitely many liftings of a monomial curve have Cohen-Macaulay tangent cones even if the tangent cone of the original curve is not Cohen-Macaulay. This implies that the Betti sequence of the tangent cone is eventually constant under this operation. Moreover, all liftings have Cohen-Macaulay tangent cones when the original monomial curve has a Cohen-Macaulay tangent cone. In this case, all the Betti sequences are just the Betti sequence of the original curve.