Residue currents constructed from resolutions of monomial ideals
Artikel i vetenskaplig tidskrift, 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

Författare

Elizabeth Wulcan

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

Mathematische Zeitschrift

0025-5874 (ISSN) 1432-8232 (eISSN)

Vol. 262 2 235-253

Ämneskategorier

Matematik

DOI

10.1007/s00209-008-0371-0