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Conormal modules via Primitive ideals | | Guangfeng Jiang
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12 Dec 1999 | | Subject: | Algebraic Geometry; Rings and Algebras; Commutative Algebra MSC-class: 13C12,14B07 | math.AG math.AC math.RA | | Abstract: | The main object of this note is to study the conormal module $M$ and the computation of the second symbolic power $ar I^{(2)}$ of an ideal $ar I$ 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. | | Source: | arXiv, math.AG/0001068 | | Services: | Forum | Review | PDF | Favorites | |
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