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arXiv · 1304.5447

On a representation of the fundamental class of an ideal due to Lejeune-Jalabert

Elizabeth Wulcan
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Abstract

Lejeune-Jalabert showed that the fundamental class of a Cohen-Macaulay ideal $\mathfrak a\subset \mathcal O_0$ admits a representation as a residue, constructed from a free resolution of $\mathfrak a$, multiplied by a certain differential form coming from the resolution. We give an explicit description of this differential form in the case where the free resolution is the Scarf resolution of a generic monomial ideal. As a consequence we get a new proof and a refinement of Lejeune-Jalabert's result in this case.

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Elizabeth Wulcan. 2013-04-19. On a representation of the fundamental class of an ideal due to Lejeune-Jalabert. https://arxiv.org/abs/1304.5447

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