An improved Briançon-Skoda theorem with applications to the Cohen- Macaulayness of Rees algebras

DOI10.1007/BF01459507zbMath0788.13001OpenAlexW2081503202MaRDI QIDQ1318171

Craig Huneke, Ian M. Aberbach

Publication date: 6 June 1994

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/165137

zbMATH Keywords

characteristic \(p\)analytic spreadtight closureBriançon-Skoda theoremCohen-Macaulaynessregular rings4-generated unmixed ideals

Mathematics Subject Classification ID

Varieties defined by ring conditions (factorial, Cohen-Macaulay, seminormal) (14M05) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Characteristic (p) methods (Frobenius endomorphism) and reduction to characteristic (p); tight closure (13A35) Associated graded rings of ideals (Rees ring, form ring), analytic spread and related topics (13A30) Cohen-Macaulay modules (13C14) Regular local rings (13H05)

Related Items

The Chern coefficients of local rings, Cohen-Macaulay Rees algebras and degrees of polynomial relations, The core of a module over a two-dimensional regular local ring, Reduction numbers, Rees algebras and Pfaffian ideals, Second analytic deviation one ideals and their Rees algebras, Reduction number boundson analytic deviation 2 ideals andcohen-macaulayness of associated graded rings, Cohen-macaulay associated graded rings for ideals which are not generic complete intersectons, On reduction exponents of ideals with Gorenstein formring, On residually $S_2$ ideals and projective dimension one modules, A theorem of Briançon-Skoda type for regular local rings containing a field, The saturation of frobenius powers of ideals, On the reduction numbers of monomial ideals, Filter-regularity and cohen-macaulay multigraded rees algebras, Extreme values of the resurgence for homogeneous ideals in polynomial rings, Note on multiplicities of blow-ups and residual intersections, Rees algebras of ideals with low codimension, Normal blow-ups and their expected defining equations, Cohen-Macaulayness of Special Fiber Rings, Reduction numbers of equimultiple ideals, On Special Fiber Rings of Modules, Unnamed Item, Necessary and sufficient conditions for the Cohen-Macaulayness of form rings, A cancellation theorem for ideals, Unnamed Item, Row ideals of certain normal ideals, Gorenstein graded rings associated to ideals

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