sustained 发表于 2025-3-21 17:47:59
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https://doi.org/10.1007/978-1-4939-2247-5et (R,m) be a local ring and let p be a prime ideal of R. Recall that, by definition (10.10), s(p) − 1 is the dimension of the fibre of the morphism . at the closed point m of Spec(R) (this fibre being Proj (G(p,R)⊗.R/m) . Likewise, if q is any prime ideal of R containing p, then s(pR.) − 1 is the dseparate 发表于 2025-3-22 05:59:34
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Springer Series in Reliability Engineeringometry frequently. For example, if X⊆.. is an irreducible, non-singular projective variety over a field k, then the local ring at the vertex of the affine cone over X satisfies this property (cf. Hartshorne ; see also the remark at the end of § 35 in Chapter VII). The purpose of this chapter is t花费 发表于 2025-3-23 00:53:43
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http://image.papertrans.cn/e/image/313500.jpg猛然一拉 发表于 2025-3-23 07:42:21
What Is Natural Language Processing?,In this chapter we collect all the basic facts about multiplicities, Hilbert functions and reductions of ideals. At the same time we will introduce the notations to be used throughout the book.