Residue currents constructed from resolutions of monomial ideals
Journal article, 2009

Given a free resolution of an ideal J of holomorphic functions, one can construct a vector-valued residue current R, whose annihilator is precisely J. In this paper we compute R in case J is a monomial ideal and the resolution is a cellular resolution in the sense of Bayer and Sturmfels. A description of R is given in terms of the underlying polyhedral cell complex and it is related to irreducible decompositions of J.

holomorphic-functions

Author

Elizabeth Wulcan

Chalmers, Mathematical Sciences, Mathematics

University of Gothenburg

Mathematische Zeitschrift

0025-5874 (ISSN) 14321823 (eISSN)

Vol. 262 2 235-253

Subject Categories

Mathematics

DOI

10.1007/s00209-008-0371-0

More information

Created

10/7/2017