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arXiv · 1912.06947

Toward mixed multiplicities and joint reductions

Truong Thi Hong Thanh·Duong Quoc Viet
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Abstract

In the direction towards the question when mixed multiplicities are equal to the Hilbert-Samuel multiplicity of joint reductions, this paper not only generalizes [28, Theorem 3.1] that covers the Rees's theorem [13, Theorem 2.4], but also removes the hypothesis that joint reductions are systems of parameters in [28, Theorem 3.1]. The results of the paper seem to make the problem of expressing mixed multiplicities into the Hilbert-Samuel multiplicity of joint reductions become closer.

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Truong Thi Hong Thanh, Duong Quoc Viet. 2019-12-14. Toward mixed multiplicities and joint reductions. https://arxiv.org/abs/1912.06947

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