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Divisorial Extensions and the Computation of Integral Closures

✍ Scribed by Wolmer V. Vasconcelos

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
253 KB
Volume
30
Category
Article
ISSN
0747-7171

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✦ Synopsis

We provide a setting for analyzing the efficiency of algorithms that compute the integral closure of affine rings. It gives quadratic (cubic in the non-homogeneous case) multiplicity-based but dimension-independent bounds for the number of passes the basic construction will make. An approach that does not uses Jacobian ideals is examined in detail.

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