Titlebook: Equimultiplicity and Blowing Up; An Algebraic Study Manfred Herrmann,Ulrich Orbanz,Shin Ikeda Book 1988 Springer-Verlag Berlin Heidelberg 1

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Various Notions of Equimultiple and Permissible Ideals,et (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 d

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Generalized Cohen-Macaulay Rings and Blowing Up,ometry 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 [1]; see also the remark at the end of § 35 in Chapter VII). The purpose of this chapter is t

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Nonautonomous Dynamical Systems,in the study of the numerical behaviour of singularities under blowing up singular centers. In this Chapter V we want to show that these conditions are also of some use to investigate Cohen-Macaulay properties under blowing up, which are essential for the local and global study of algebraic varietie

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Book 1988y for complex analytic spaces is given a geometric interpretation and its equivalence to the algebraic notion is explained. The book is primarily addressed to specialists in the subject but the self-contained and unified presentation of numerous earlier results make it accessible to graduate student