Monomial conjecture and complete intersections

DOI10.1007/BF02568334zbMath0792.13010WikidataQ123253301 ScholiaQ123253301MaRDI QIDQ1313587

Jan R. Strooker, Jürgen Stückrad

Publication date: 24 July 1994

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155830

zbMATH Keywords

complete intersectionlocal ringlocal cohomology modulessystem of parametersmonomial conjecturedirect summand conjecture

Mathematics Subject Classification ID

Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Linkage, complete intersections and determinantal ideals (13C40) Complete intersections (14M10) Local cohomology and commutative rings (13D45) Local cohomology and algebraic geometry (14B15) Curves in algebraic geometry (14H99)

Related Items (10)

Intersection multiplicity, canonical element conjecture and the syzygy problem ⋮ Reductions towards a characteristic free proof of the Canonical Element Theorem ⋮ Stiffness of finite free resolutions and the canonical element conjecture. ⋮ The monomial conjecture and order ideals ⋮ Splitting of local cohomology of syzygies of the residue field ⋮ Towards a homological generalization of the direct summand theorem ⋮ A note on the strong direct summand conjecture ⋮ A Note on the Monomial Conjecture ⋮ Connections between reduced Bass numbers and Auslander's \(\delta\)-invariant ⋮ The monomial conjecture and order ideals. II

Cites Work

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• On the associated graded rings of parameter ideals in Buchsbaum rings
• Liaison des variétés algébriques. I
• Canonical elements in local cohomology modules and the direct summand conjecture
• Der kanonische Modul eines Cohen-Macaulay-Rings. (The canonical moduls of a Cohen-Macaulay-ring)
• Structure Theory for a Class of Grade Four Gorenstein Ideals
• Contracted ideals from integral extensions of regular rings

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