Conormal modules via Primitive ideals

Guangfeng Jiang

Conormal modules via Primitive ideals

Algebraic Geometry 2007-05-23 v1 Commutative Algebra Rings and Algebras

Authors: Guangfeng Jiang

Abstract

The main object of this note is to study the conormal module $M$ and the computation of the second symbolic power $\bar I^{(2)}$ of an ideal $\bar I$ 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.

Keywords

monomial ideals monomial ideals and free resolutions ideal theory

Cite

@article{arxiv.math/0001068,
  title  = {Conormal modules via Primitive ideals},
  author = {Guangfeng Jiang},
  journal= {arXiv preprint arXiv:math/0001068},
  year   = {2007}
}

Comments

11 pages, Latex2e file

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