论文信息 - Computing the integral closure of an affine domain - 字舞流文

Computing the integral closure of an affine domain

Let A = k[x, . .x , x,]/P be an affine domain over a field k, with P given by a set of generators. We give a method to find the defining ideal of its integral closure B as an affine domain B = k[y, y, Ym]/Q.

Wolmer V. Vasconcelos | W. Vasconcelos

[1] Alessandro Logar,et al. A Computational Proof of the Noether Normalization Lemma , 1988, AAECC.

[2] A. Seidenberg. Construction of the integral closure of a finite integral domain. II , 1975 .

[3] B. Buchberger,et al. Grobner Bases : An Algorithmic Method in Polynomial Ideal Theory , 1985 .

[4] W. Vasconcelos. Symmetric Algebras and Factoriality , 1989 .

[5] P. Samuel. Anneaux gradués factoriels et modules réflexifs , 1964 .

[6] C. Huneke,et al. Powers of ideals having small analytic deviation , 1992 .

[7] G. Stolzenberg,et al. Constructive normalization of an algebraic variety , 1968 .

[8] J. Lipman. ON THE JACOBIAN IDEAL OF THE MODULE OF DIFFERENTIALS , 1969 .