Residue currents of monomial ideals Elizabeth Wulcan 32A2732A26residue currentBochner-Martinelli formulaideals of holomorphic functionsNewton polyhedronNewton diagram 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. Indiana University Mathematics Journal 2007 text pdf 10.1512/iumj.2007.56.2924 10.1512/iumj.2007.56.2924 en Indiana Univ. Math. J. 56 (2007) 365 - 388 state-of-the-art mathematics http://iumj.org/access/