An inequality in mixed multiplicities. (English) Zbl 1502.13058

Summary: The theory of mixed multiplicities of (not necessarily Noetherian) filtrations of \(m_R\)-primary ideals in a Noetherian local ring \(R\), has been developed by Cutkosky, Sarkar and Srinivasan. The objective of this article is to generalise a Minkowski-type inequality given in their paper. We also recover a result of S. D. Cutkosky et al. [Bull. Lond. Math. Soc. 52, No. 2, 335–348 (2020; Zbl 1442.13085)] as a simple consequence of our inequality.


13H15 Multiplicity theory and related topics


Zbl 1442.13085
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