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A Survey of Some Results for Mixed Multiplicities

Commutative Algebra 2013-09-23 v4

Abstract

The paper proves that the superficial sequences in [13, 15, 16, 25] are the weak-(FC)-sequences in [18]. This follows that [18, Theorem 3.4] of Viet in 2000 covers the results of Risler and Teissier [13] in 1973; Trung [15, Theorem 3.4] in 2001; Trung and Verma [16, Theorem 1.4] in 2007. The paper unified the results for mixed multiplicities of ideals in [13, 15, 16, 17, 18, 25].

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Cite

@article{arxiv.1207.2850,
  title  = {A Survey of Some Results for Mixed Multiplicities},
  author = {Le Van Dinh and Nguyen Tien Manh and Truong Thi Hong Thanh},
  journal= {arXiv preprint arXiv:1207.2850},
  year   = {2013}
}

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9 pages