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