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Conormal Modules via Primitive Ideals

✍ Scribed by Guangfeng Jiang


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
130 KB
Volume
229
Category
Article
ISSN
0021-8693

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✦ Synopsis


The main object of this note is to study the conormal module M and the Ž2.

computation of the second symbolic power ᒄ of an ideal ᒄ in the residue ring O Orᒅ of a polynomial ring O O over a field of characteristic zero. The torsion part Ž .

Ž . T M of M and the torsion free module MrT M are expressed by the primitive Ž . ideal of ᒄ relative to ᒅ. Two characterizations for MrT M to be free are proved. Some immediate applications are worked out.