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arXiv · 1106.3140

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
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Abstract

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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L. Ghezzi, S. Goto, J. Hong, K. Ozeki, T. T. Phuong, W. V. Vasconcelos. 2011-06-16. Variation of the first Hilbert coefficients of parameters with a common integral closure. https://arxiv.org/abs/1106.3140

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