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Residue currents and fundamental cycles

Richard Lärkäng (Institutionen för matematiska vetenskaper, matematik) ; Elizabeth Wulcan (Institutionen för matematiska vetenskaper, matematik)
(2015)
[Preprint]

We give a factorization of the fundamental cycle of an analytic space in terms of certain differential forms and residue currents associated with a locally free resolution of its structure sheaf. Our result can be seen as a generalization of the classical Poincaré-Lelong formula. It is also a current version of a result by Lejeune-Jalabert, who similarly expressed the fundamental class of a Cohen-Macaulay analytic space in terms of differential forms and cohomological residues.



Denna post skapades 2015-12-22. Senast ändrad 2016-08-15.
CPL Pubid: 228903

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Matematisk analys
Geometri

Chalmers infrastruktur