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Residue currents of monomial ideals

Elizabeth Wulcan (Institutionen för matematiska vetenskaper, matematik)
Indiana University Mathematics Journal (0022-2518). Vol. 56 (2007), 1, p. 365-388.
[Artikel, refereegranskad vetenskaplig]

We compute residue currents of Bochner-Martinelli type associated with a monomial ideal $I$, by methods involving certain toric varieties. In case the variety of $I$ is the origin, we give a complete description of the annihilator of the currents in terms of the associated Newton diagram. In particular, we show that the annihilator is strictly included in $I$, unless $I$ is defined by a complete intersection.

Nyckelord: residue current, Bochner-Martinelli formula, ideals of holomorphic functions, Newton polyhedron, Newton diagram



Denna post skapades 2007-04-05. Senast ändrad 2016-04-28.
CPL Pubid: 40391

 

Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Matematik

Chalmers infrastruktur

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