Rees Algebras and Mixed Multiplicities
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Publication:3035416
DOI10.2307/2047587zbMath0693.13015OpenAlexW4249613514MaRDI QIDQ3035416
Publication date: 1988
Full work available at URL: https://doi.org/10.2307/2047587
Multiplicity theory and related topics (13H15) Ideals and multiplicative ideal theory in commutative rings (13A15)
Related Items (22)
The multiplicity and the Cohen-Macaulayness of extended Rees algebras of equimultiple ideals ⋮ Mixed multiplicities of modules over noetherian local rings ⋮ Mixed multiplicities of ideals versus mixed volumes of polytopes ⋮ Degree functions and projectively full ideals in 2-dimensional rational singularities that can be desingularized by blowing up the unique maximal ideal ⋮ Integral closedness of \(MI\) and the formula of Hoskin and Deligne for finitely supported complete ideals ⋮ Extended Rees algebras and mixed multiplicities ⋮ Hilbert functions of multigraded algebras, mixed multiplicities of ideals and their applications ⋮ On the multiplicity of multigraded modules over Artinian local rings ⋮ On the mixed multiplicity and the multiplicity of blow-up rings of equimultiple ideals. ⋮ Rees algebras of contracted ideals in two-dimensional regular local rings ⋮ Mixed multiplicities, Segre numbers and Segre classes ⋮ Multigraded Rees algebras and mixed multiplicities ⋮ Hilbert-Kunz function and Hilbert-Kunz multiplicity of some ideals of the Rees algebra ⋮ On the multiplicity of blow-up rings of ideals generated by \(d\)-sequences ⋮ On (FC)-sequences and mixed multiplicities of multi-graded algebras ⋮ Rees algebras of parameter ideals ⋮ A mixed multiplicity formula for complete ideals in 2-dimensional rational singularities ⋮ Joint reductions and Rees algebras ⋮ First neighborhood complete ideals in two-dimensional Muhly local domains ⋮ Lê cycles and Milnor classes ⋮ On the mixed multiplicities of multi-graded fiber cones ⋮ On some properties of (fc)-sequences of ideals in local rings
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- Birational extensions in dimension two and integrally closed ideals
- Certain graded algebras are always Cohen-Macaulay
- Generalizations of Reductions and Mixed Multiplicities
- Hilbert Functions and Pseudo-Rational Local Rings of Dimension Two
- Polynomial Ideals Defined by Infinitely Near Base Points
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