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A Remark on the Local Cohomology Modules of a Union of Disjoint Matroids

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Abstract

Let I be the Stanley–Reisner ideal of a simplicial complex Δ. In this short paper, we shall give a formula of vanishing of the local cohomology modules for S/I (r) in the case Δ is a union of disjoint matroids, where I (r) is the rth symbolic power of I. As an application, we will improve a previous result in Minh and Nakamura (Nagoya Math. J. 213, 127–140, 2014) for the k-Buchsbaumness of S/I (r).

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Acknowledgments

We would like to thank the referee for their very useful corrections and suggestions.

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Authors and Affiliations

  1. Department of Mathematics, Hanoi National University of Education, 136 Xuan Thuy, Hanoi, Vietnam

    Nguyên Công Minh

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  1. Nguyên Công Minh
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Correspondence to Nguyên Công Minh.

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Dedicated to my advisor, Professor Ngô Viêt Trung, on the occasion of his sixtieth birthday.

This author was a session invited speaker at the Vietnam Congress of Mathematicians 2013.

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Minh, N.C. A Remark on the Local Cohomology Modules of a Union of Disjoint Matroids. Vietnam J. Math. 44, 495–500 (2016). https://doi.org/10.1007/s10013-015-0161-z

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  • DOI: https://doi.org/10.1007/s10013-015-0161-z

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