Geodesic
Ordinary Singularities with Decreasing Hilbert Function
Canadian journal of mathematics, Tome 34 (1982) no. 1, pp. 169-180

Voir la notice de l'article provenant de la source Cambridge University Press

Let A be the co-ordinate ring of a reduced curve over a field k. This means that A is an algebra of finite type over k, A has no nilpotent elements, and that if P is a minimal prime ideal of A, then A/P is an integral domain of Krull dimension one. Let M be a maximal ideal of A. Then G(A) (the graded ring of A relative to M) is defined to be . We get the same graded ring if we first localize at M, and then form the graded ring of AM relative to the maximal ideal MAM. That is Let Ā be the integral closure of A. If P 1, P 2, ..., Ps are the minimal primes of A then where A/Pi is a domain and is the integral closure of A/Pi in its quotient field. 
Roberts, Leslie G. Ordinary Singularities with Decreasing Hilbert Function. Canadian journal of mathematics, Tome 34 (1982) no. 1, pp. 169-180. doi: 10.4153/CJM-1982-010-1
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[1] 1. Geramita, A. V. and Orecchia, F., On the Cohen-Macaulay type of s-lines in An+1, J. of Algebra 70 (1981), 116–140. Google Scholar

[2] 2. Orecchia, F., Ordinary singularities of algebraic curves, to appear in Canadian Mathematical Bulletin. Google Scholar

[3] 3. Orecchia, F., Points in generic position and conductor of curves with ordinary singularities, Preprint. Google Scholar

[4] 4. Sally, J., Number of generators of ideals in local rings, Lect. Notes in Pure and Applied Math. 35 (Marcel Dekker, New York, 1978). Google Scholar

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