# Computing residue currents of monomial ideals using comparison formulas Preprint, 2012

Given a free resolution of an ideal \$\mathfrak{a}\$ of holomorphic functions, one can construct a vector-valued residue current, \$R\$, which coincides with the classical Coleff-Herrera product if \$\mathfrak{a}\$ is a complete intersection ideal and whose annihilator ideal is precisely \$\mathfrak{a}\$. We give a complete description of \$R\$ in the case when \$\mathfrak{a}\$ is an Artinian monomial ideal and the resolution is the hull resolution (or a more general cellular resolution), extending previous results by the second author. The main ingredient in the proof is a comparison formula for residue currents due to the first author.

## Författare

#### Richard Lärkäng

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

#### Elizabeth Wulcan

Chalmers, Matematiska vetenskaper, Matematik

Göteborgs universitet

#### Ämneskategorier

Matematik

Matematisk analys

#### Fundament

Grundläggande vetenskaper

2017-10-07