Cohen-Macaulayness of tangent cones

DOI10.1090/S0002-9939-99-05229-6zbMath0954.14034MaRDI QIDQ4955819

Feza Arslan

Publication date: 22 May 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Cohen-Macaulay ringGröbner basismonomial curveCohen-Macaulay tangent cones

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Singularities in algebraic geometry (14B05) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Singularities of curves, local rings (14H20)

Related Items (12)

On the Hilbert series of the tangent cones for some 4-generated pseudosymmetric monomial curves ⋮ On pseudo symmetric monomial curves ⋮ On the Betti numbers of the tangent cones for Gorenstein monomial curves ⋮ On the defining equations of the tangent cone of a numerical semigroup ring ⋮ On monomial curves obtained by gluing ⋮ Cohen-Macaulay criteria for projective monomial curves via Gröbner bases ⋮ On the type and generators of monomial curves ⋮ LIFTINGS OF A MONOMIAL CURVE ⋮ Gluing and Hilbert functions of monomial curves ⋮ Hilbert functions of Gorenstein monomial curves ⋮ The generators, relations and type of the Backelin semigroup ⋮ On minimal free resolution of the associated graded rings of certain monomial curves : New proofs in A⁴

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