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Residue currents of monomial ideals

Elizabeth Wulcan
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Abstract

We compute residue currents of Bochner-Martinelli type associated with a monomial ideal $I$, by methods involving certain toric varieties. In case the variety of $I$ is the origin, we give a complete description of the annihilator of the currents in terms of the associated Newton diagram. In particular, we show that the annihilator is strictly included in $I$, unless $I$ is defined by a complete intersection. We also provide partial results for general monomial ideals.

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Elizabeth Wulcan. 2005-11-15. Residue currents of monomial ideals. https://arxiv.org/abs/math/0511373

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