Projective normal flatness and Hilbert functions
U. Orbanz,L. Robbiano +1 more
About: This article is published in Transactions of the American Mathematical Society. The article was published on 01 Jan 1984. and is currently open access. The article focuses on the topics: Hilbert series and Hilbert polynomial & Flatness (mathematics).
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Citations
Some remarks on generalized Cohen-Macaulay rings
M. Fiorentini,L. T. Hoa +1 more
TL;DR: In this article, a bound on Castelnuovo-Mumford regularity of (k,d)-Buchsbaum graded Kalgebras is given for generalized generalized Cohen-Macaulay rings.
•Posted Content
Singular implicit and inverse function theorems. Strong resolution with normally flat centers
TL;DR: The singular implicit function theorem is closely related to a (proven here) extended version of the Weierstrass-Hironaka-Malgrange division and preparation theorems as discussed by the authors.
2
Certain Inequalities and Equalities of Hilbert Functions and Multiplicities
Manfred Herrmann,Ulrich Orbanz,Shin Ikeda +2 more
- 01 Jan 1988
TL;DR: In this paper, the behavior of generalized Hilbert functions and multiplicities of local rings R under quadratic transformations was studied and the semicontinuity of Hilbert functions was proved.
References
Multiplicities and Hilbert functions under blowing up
TL;DR: In this paper, the authors studied the behaviour of Hilbert functions and multiplicities of a local ring R under blowing up an ideal A of R such that R/A need not be regular or even a domain, using the result of Singh ([10]) about Hilbert functions under quadratic transformations.
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