Multigraded Rees algebras and mixed multiplicities
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Publication:1184040
DOI10.1016/0022-4049(92)90087-VzbMath0749.13014OpenAlexW2056080569MaRDI QIDQ1184040
Publication date: 28 June 1992
Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0022-4049(92)90087-v
Multiplicity theory and related topics (13H15) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)
Related Items (26)
ON A CHANGE OF RINGS FOR MIXED MULTIPLICITIES ⋮ Reductions and Mixed Multiplicities of Ideals ⋮ Mixed multiplicities of modules over noetherian local rings ⋮ Mixed multiplicities of ideals versus mixed volumes of polytopes ⋮ On some multiplicity and mixed multiplicity formulas ⋮ Cohen-Macaulay multigraded modules ⋮ Reduction numbers and multiplicities of multigraded structures ⋮ On Mixed Multiplicities of Good Filtrations ⋮ Algorithms for computing mixed multiplicities, mixed volumes, and sectional Milnor numbers ⋮ Hilbert functions of multigraded algebras, mixed multiplicities of ideals and their applications ⋮ Cohen-macaulay symmetric algebras with maximal embedding dimension of almost complete intersection ideals ⋮ Toward mixed multiplicities and joint reductions ⋮ On the multiplicity of multigraded modules over Artinian local rings ⋮ Mixed multiplicities, Segre numbers and Segre classes ⋮ Mixed multiplicities of multigraded modules ⋮ A note on joint reductions and mixed multiplicities ⋮ Mixed Multiplicities of Maximal Degrees (J. Korean Math. Soc. 55 (2018), No. 3, 605-622) ⋮ A Formula for the Multiplicity of the Multi-graded Extended Rees Algebra ⋮ On the mixed multiplicities of multi-graded fiber cones ⋮ Mixed multiplicities and the multiplicity of Rees modules of reductions ⋮ The Euler–Poincaré characteristic of joint reductions and mixed multiplicities ⋮ Multigraded Rees algebras of \({\mathfrak M}\)-primary ideals in local rings of dimension greater than one ⋮ Mixed multiplicities of arbitrary ideals in local rings ⋮ On the Cohen-Macaulay and Gorenstein properties of multigraded Rees algebras ⋮ The diagonal subring and the Cohen-Macaulay property of a multigraded ring ⋮ On some properties of (fc)-sequences of ideals in local rings
Cites Work
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- Birational extensions in dimension two and integrally closed ideals
- Certain graded algebras are always Cohen-Macaulay
- On the associated graded ring of a local Cohen-Macaulay ring
- Cohen-Macaulay local rings of maximal embedding dimension
- Graded algebras of powers of ideals generated by A-sequences
- Rees Algebras and Mixed Multiplicities
- Rings associated with ideals and analytic spread
- Local Rings of High Embedding Dimension
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