scientific article; zbMATH DE number 3605030
From MaRDI portal
Publication:4170834
zbMath0389.13009MaRDI QIDQ4170834
Publication date: 1980
Full work available at URL: http://www.numdam.org/item?id=CM_1980__40_2_167_0
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
embedding dimensionCohen- Macaulay pointmultiplicity of local ringtangent cones at Gorenstein singularities
Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Local theory in algebraic geometry (14B99)
Related Items (47)
Hilbert series of fiber cones of ideals with almost minimal mixed multiplicity ⋮ On the depth of the tangent cone and the growth of the Hilbert function ⋮ Tangent cones at curve and surface singularities ⋮ Sally modules of rank one ⋮ Unnamed Item ⋮ Vanishing of cohomology over Gorenstein rings of small codimension ⋮ Hilbert functions and Sally modules ⋮ Integral closures of ideals generated by regular sequences ⋮ Extended Rees algebras and mixed multiplicities ⋮ Fiber cones of rational normal scrolls are Cohen-Macaulay ⋮ Good embedding dimensions for Gorenstein singularities ⋮ Cohomology of ideals in elliptic surface singularities ⋮ One-dimensional Gorenstein local rings with decreasing Hilbert function ⋮ The structure of Sally modules -- towards a theory of non-Cohen-Macaulay cases ⋮ Hilbert coefficients of a Cohen-Macaulay module. ⋮ Local rings with self-dual maximal ideal ⋮ The tiny trace ideals of the canonical modules in Cohen-Macaulay rings of dimension one ⋮ On projective resolutions of Frobenius algebras and Gorenstein rings ⋮ On singularities arising from the contraction of the minimal section of a ruled surface ⋮ Homological criteria for minimal multiplicity ⋮ Hilbert coefficients and the Gorenstein property of the associated graded ring. ⋮ Towards a structure theory for projective varieties of degree = codimension + 2 ⋮ On the associated graded modules of canonical modules ⋮ On the Cohen-Macaulayness of the fiber cone of an ideal ⋮ A note on reduction numbers and Hilbert--Samuel functions of ideals over Cohen--Macaulay rings ⋮ Reduction Numbers and Rees Algebras of Powers of an Ideal ⋮ On the structure of the fiber cone of ideals with analytic spread one ⋮ Cohen-Macaulay local rings of embedding dimension \(e+d-k\) ⋮ The Associated Graded Ring and the Index of a Gorenstein Local Ring ⋮ Bockstein cohomology of associated graded rings ⋮ One dimensional local rings of maximal and almost maximal length ⋮ Numerical Gorenstein elliptic singularities ⋮ The leading ideal of a complete intersection of height two ⋮ Bounds on the normal Hilbert coefficients ⋮ Numerical semigroups of maximal and almost maximal length ⋮ Stable ideals in Gorenstein local rings ⋮ Reduction Exponent and Degree Bound for the Defining Equations of Graded Rings ⋮ Cohen-Macaulay local rings with \(e_2 = e_1 - e + 1\) ⋮ Noetherian local rings with Buchsbaum associated graded rings ⋮ Depth of associated graded rings via Hilbert coefficients of ideals ⋮ The Gorenstein and complete intersection properties of associated graded rings ⋮ Cohen-Macaulay local rings of embedding dimension e+d-2 ⋮ Complete intersection in overrings of a certain one-dimensional Gorenstein graded local ring ⋮ New estimates of Hilbert–Kunz multiplicities for local rings of fixed dimension ⋮ On the Gorenstein property of form rings ⋮ Residual complex on the tangent cone of a numerical semigroup ring ⋮ A \(p_ g\)-formula and elliptic singularities
Cites Work
- Unnamed Item
- On the associated graded ring of a local Cohen-Macaulay ring
- A conjecture of Nagata on graded Cohen-Macaulay rings
- Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
- Five theorems on Macaulay rings
- The Neighbourhoods of a Local Ring
- R-Sequences and Homological Dimension
- Three Local Conditions on a Graded Ring
- Equations defining rational singularities
- On Minimally Elliptic Singularities
- On Isolated Rational Singularities of Surfaces
- Local Rings of High Embedding Dimension
- The Value-Semigroup of a One-Dimensional Gorenstein Ring
This page was built for publication: