Conormal modules via Primitive ideals
Guangfeng Jiang
Abstract
The main object of this note is to study the conormal module M and the computation of the second symbolic power I(2) of an ideal I in the residue ring R/H of a polynomial ring R over a field of characteristic zero. The torsion part T(M) of M and the torsion free module M/T(M) are expressed by the primitive ideal of I relative to H. Two characterizations for M/T(M) to be free are proved. Some immediate applications are worked out.
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