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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)
Bulletin des Sciences Mathématiques (0007-4497). Vol. 138 (2014), 3, p. 376-392.
[Artikel, refereegranskad vetenskaplig]

Given a free resolution of an ideal a of holomorphic functions, one can construct a vector-valued residue current R, which coincides with the classical Coleff–Herrera product if a is a complete intersection ideal and whose annihilator ideal is precisely a. We give a complete description of R in the case when a is an Artinian monomial ideal and the resolution is the hull resolution (or a more general cellular resolution). The main ingredient in the proof is a comparison formula for residue currents due to the first author. By means of this description, we obtain in the monomial case a current version of a factorization of the fundamental cycle of a due to Lejeune-Jalabert.



Denna post skapades 2014-05-19. Senast ändrad 2016-08-15.
CPL Pubid: 198258

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Matematisk analys
Geometri
Algebra och geometri

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