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# Computing residue currents of monomial ideals using comparison formulas

Richard Lärkäng (Institutionen för matematiska vetenskaper, matematik) ; Elizabeth Wulcan (Institutionen för matematiska vetenskaper, matematik)
(2012)
[Preprint]

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.

CPL Pubid: 166995

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# Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)