On the multiplicity of blow-up rings of ideals generated by \(d\)-sequences

DOI10.1016/0022-4049(92)90146-7zbMath0778.13001OpenAlexW2074449531MaRDI QIDQ1196823

Bernd Ulrich, Ngô Viêt Trung, Jürgen Herzog

Publication date: 16 January 1993

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)90146-7

zbMATH Keywords

Cohen-Macaulay ringfiltrationassociated graded ringmultiplicities\(d\)-sequencegraded ringextended Rees ringblow-up rings

Mathematics Subject Classification ID

Multiplicity theory and related topics (13H15) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30)

Related Items

Reductions and Mixed Multiplicities of Ideals ⋮ On the multiplicity of blow-ups associated to almost complete intersection space curves ⋮ Mixed Hilbert coefficients of homogeneous \(d\)-sequences and quadratic sequences ⋮ Extremal Rees algebras ⋮ The diagonal subalgebra of a blow-up algebra ⋮ Hilbert functions of multigraded algebras, mixed multiplicities of ideals and their applications ⋮ On the mixed multiplicity and the multiplicity of blow-up rings of equimultiple ideals. ⋮ Mixed Multiplicities of Rational Normal Scrolls ⋮ Note on multiplicities of blow-ups and residual intersections ⋮ Combinatorics of a certain ideal in the Segre coordinate ring ⋮ Mixed multiplicities of arbitrary ideals in local rings

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