CPL - Chalmers Publication Library

# On the duality theorem on an analytic variety

Richard Lärkäng (Institutionen för matematiska vetenskaper, matematik)
(2010)
[Preprint]

The duality theorem for Coleff-Herrera products on a complex manifold says that if $f = (f_1,\dots,f_p)$ defines a complete intersection, then the annihilator of the Coleff-Herrera product $\mu^f$ equals (locally) the ideal generated by $f$. This does not hold unrestrictedly on an analytic variety $Z$. We give necessary, and in many cases sufficient conditions for when the duality theorem holds. These conditions are related to how the zero set of $f$ intersects certain singularity subvarieties of the sheaf $\O_Z$.

CPL Pubid: 130120

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# Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)