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On some multiplicity and mixed multiplicity formulas

Authors
  • Viet, Duong Quoc
  • Thanh, Truong Thi Hong
Type
Published Article
Journal
Forum Mathematicum
Publisher
De Gruyter
Publication Date
Nov 29, 2011
Volume
26
Issue
2
Pages
413–442
Identifiers
DOI: 10.1515/form.2011.168
Source
De Gruyter
Keywords
License
Yellow

Abstract

This paper gives the additivity and reduction formulas for mixed multiplicities of multi-graded modules M and mixed multiplicities of arbitrary ideals, and establishes the recursion formulas for the sum of all the mixed multiplicities of M. As an application of these formulas we get the recursion formulas for the multiplicity of multi-graded Rees modules.

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