The divisor class group of ordinary and symbolic blow-ups

DOI10.1007/BF01162869zbMath0626.13003OpenAlexW2056216147MaRDI QIDQ580435

Ngô Viêt Trung, Aaron Simis

Publication date: 1988

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

Full work available at URL: https://eudml.org/doc/173939

zbMATH Keywords

divisor class groupcanonical classextended Rees algebrasplit extensionfiltration of idealsquasi-Gorensteintorsion free cone

Mathematics Subject Classification ID

Ideals and multiplicative ideal theory in commutative rings (13A15) Graded rings and modules (associative rings and algebras) (16W50) Extension theory of commutative rings (13B02) Theory of modules and ideals in commutative rings (13C99)

Related Items (24)

Rees algebras of conormal modules ⋮ Symbolic powers of monomial curves in P³lying on a quadric surface ⋮ Prime ideals of height two whose associated graded rings are gorenstein integral domains –an extension of huckaba and huneke's examples– ⋮ Free resolutions of certain codimension three perfect radical ideals ⋮ Blow-up of Straightening-Closed Ideals in Ordinal Hodge Algebras ⋮ A note on the cohen-macaulayness of rees algebras of filtrations ⋮ Symbolic powers of perfect ideals of codimension 2 and birational maps ⋮ Arithmetically cohen-macaulay monomial curves in ℙ³ ⋮ Canonical modules and class groups of Rees-like algebras ⋮ On the structure of Noetherian symbolic Rees algebras ⋮ Depth formulas for the rees algebras of filtrations ⋮ Symbolic Powers of Monomial Ideals and Cohen-Macaulay Vertex-Weighted Digraphs ⋮ Examples of Gorenstein domains and symbolic powers of monomial space curves ⋮ Determinantal ideals of linear type of a generic symmetric matrix ⋮ Algebras defined by powers of determinantal idelas ⋮ Arithmetic of normal Rees algebras ⋮ Rees algebra of ideals generated by pfaffians ⋮ On catalecticant perfect ideals of codimension 2 ⋮ Non-Cohen-Macaulay Symbolic Blow-ups for Space Monomial Curves ⋮ Algebras of minors ⋮ Krull dimension and integrality of symmetric algebras ⋮ Symbolic blowup algebras and invariants of certain monomial curves in an affine space ⋮ Canonical modules of Rees algebras ⋮ Divisor class groups and graded canonical modules of multisection rings

Cites Work

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• The class group of the Rees algebras over polynomial rings
• On the canonical module of the Rees algebra and the associated graded ring of an ideal
• Symmetric algebras of modules arising from a fixed submatrix of a generic matrix
• On the finite generation of symbolic blow-ups
• The divisor class group of a certain Krull domain
• On the divisor class group of Rees-algebras
• Graded algebras of powers of ideals generated by A-sequences
• A note on the symmetric algebras which are gorenstein rings
• Über die Übertragung der Ringeigenschaften zwischenR undR[u/(F)]
• Koszul Homology of Cohen-Macaulay Rings with Linear Resolutions
• On the symbolic rees ring of a primary ideal

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