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Elementary construction of residue currents associated to Cohen-Macaulay ideals

Richard Lärkäng (Institutionen för matematiska vetenskaper, matematik) ; Emmanuel Mazzilli
(2016)
[Preprint]

For a Cohen-Macaulay ideal of holomorphic functions, we construct by elementary means residue currents whose annihilator is precisely the given ideal. We give two proofs that the currents have the prescribed annihilator, one using the theory of linkage, and another using an explicit division formula involving these residue currents to express the ideal membership.



Denna post skapades 2016-08-15.
CPL Pubid: 240222

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Matematisk analys
Geometri
Algebra och geometri

Chalmers infrastruktur