A property of A-sequences
R. Hartshorne (1966)
Bulletin de la Société Mathématique de France
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R. Hartshorne (1966)
Bulletin de la Société Mathématique de France
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Robert Fossum, Hans-Bjorn Foxby, Phillip Griffith, Idun Reiten (1975)
Publications Mathématiques de l'IHÉS
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Santiago Zarzuela (1992)
Publicacions Matemàtiques
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In this note we give a description of a morphism related to the structure of the canonical model of the Rees algebra R(I) of an ideal I in a local ring. As an application we obtain Ikeda's criteria for the Gorensteinness of R(I) and a result of Herzog-Simis-Vasconcelos characterizing when the canonical module of R(I) has the expected form.
Craig Huneke, Bernd Ulrich, Wolmer V. Vasconcelos (1992)
Compositio Mathematica
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Bart De Smit (1997)
Collectanea Mathematica
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Liam O'Carroll (1996)
Compositio Mathematica
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Antonio García Rodicio (1991)
Extracta Mathematicae
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Let (A,M,K) denote a local noetherian ring A with maximal ideal M and residue field K. Let I be an ideal of A and E the Koszul complex generated over A by a system of generators of I.
The condition: H1(E) is a free A/I-module, appears in several important results of Commutative Algebra. For instance:
- (Gulliksen [3, Proposition 1.4.9]): The ideal I is generated by a regular sequence if and only if I has finite projective dimension and H
R. Hübl, C. Huneke (2001)
Collectanea Mathematica
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Let (R,m) be a Noetherian local ring and let I C R be an ideal. This paper studies the question of when m I is integrally closed. Particular attention is focused on the case R is a regular local ring and I is a reduced ideal. This question arose through a question posed by Eisenbud and Mazur on the existence of evolutions.
Maria Evelina Rossi, Giuseppe Valla (2009)
Rendiconti del Seminario Matematico della Università di Padova
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