Variation of the first Hilbert coefficients of parameters with a common integral closure

J. Hong; K. Ozeki; L. Ghezzi; S. Goto; T.T. Phuong; W.V. Vasconcelos

arxiv: 1106.3140 · v1 · pith:2LO57BCTnew · submitted 2011-06-16 · 🧮 math.AC

Variation of the first Hilbert coefficients of parameters with a common integral closure

L. Ghezzi , S. Goto , J. Hong , K. Ozeki , T.T. Phuong , W.V. Vasconcelos This is my paper

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keywords closurecoefficientscommonfirsthilbertintegralvariationaffirmative

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A problem posed by Wolmer V. Vasconcelos on the variation of the first Hilbert coefficients of parameter ideals with a common integral closure in a local ring is studied. Affirmative answers are given and counterexamples are explored as well.

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Variation of the first Hilbert coefficients of parameters with a common integral closure

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