Fiber Cones of Ideals with Almost Minimal Multiplicity
From MaRDI portal
Publication:4676031
DOI10.1017/S0027763000009089zbMath1075.13011arXivmath/0212196OpenAlexW1859339465MaRDI QIDQ4676031
A. V. Jayanthan, Jugal Kishore Verma
Publication date: 6 May 2005
Published in: Nagoya Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0212196
Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Multiplicity theory and related topics (13H15) Hilbert-Samuel and Hilbert-Kunz functions; Poincaré series (13D40) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Cohen-Macaulay modules (13C14) Dimension theory, depth, related commutative rings (catenary, etc.) (13C15)
Related Items
On the depth of fiber cones of stretched \(\mathfrak m\)-primary ideals ⋮ On Hilbert coefficients of parameter ideals and Cohen-Macaulayness ⋮ Homology, mixed multiplies and Hilbert coefficients of the fiber cone ⋮ On Hilbert coefficients of filtrations ⋮ On the Cohen-Macaulayness of fiber cones ⋮ On the structure of the fiber cone of ideals with analytic spread one ⋮ Depth of fiber cones of ideals with almost minimal mixed multiplicity ⋮ Artin-Nagata properties, minimal multiplicities, and depth of fiber cones ⋮ On the finiteness of the set of Hilbert coefficients ⋮ A family of reflexive vector bundles of reduction number one ⋮ On the multiplicity and the Cohen-Macaulayness of fiber cones of graded algebras ⋮ On Sally modules ⋮ Cohen-Macaulay fiber cones and defining ideal of Rees algebras of modules ⋮ Coefficient ideals of the fiber cone
Cites Work
- The Dilworth number of Artin Gorenstein rings
- Cohen-Macaulay local rings of embedding dimension e+d-2
- Hilbert functions and symbolic powers
- On the Cohen-Macaulayness of the fiber cone of an ideal
- On the Gorenstein property of the associated graded ring and the Rees algebra of an ideal
- Primary ideals with good associated graded ring
- Resolution of singularities of an algebraic variety over a field of characteristic zero. I
- Reduction numbers for ideals of higher analytic spread
- On the length formula of Hoskin and Deligne and associated graded rings of two-dimensional regular local rings
- Form rings and regular sequences
- On the depth of the tangent cone and the growth of the Hilbert function
- A conjecture of j. sally
- Hilbert Coefficients and the Depths of Associated Graded Rings
- Cohen-Macaulay Local Rings of Embedding Dimension e + d − 3
- A 𝑑-dimensional extension of a lemma of Huneke’s and formulas for the Hilbert coefficients
- A bound on the reduction number of a primary ideal