Residue currents of monomial ideals

2005/11/15 by Elizabeth Wulcan, Wulcan, Elizabeth
Computer Science · Mathematics · #Commutative Algebra and Its Applications #Polynomial and algebraic computation #math.CV #msc:32A26 #msc:32A27

paper · pdf · doi:10.48550/arxiv.math/0511373

22 pages

arxiv created 2005/11/15 · arxiv updated 2009/12/01

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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