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Adjunction for the Grauert-Riemenschneider canonical sheaf and extension of L^2-cohomology classes

Håkan Samuelsson (Institutionen för matematiska vetenskaper, matematik) ; Elizabeth Wulcan (Institutionen för matematiska vetenskaper, matematik) ; Jean Ruppenthal
2012. - 20 s.
[Rapport]

In the present paper, we derive an adjunction formula for the Grauert-Riemenschneider canonical sheaf of a singular hypersurface V in a complex manifold M. This adjunction formula is used to study the problem of extending L2-cohomology classes of dbar-closed forms from the singular hypersurface V to the manifold M in the spirit of the Ohsawa-Takegoshi-Manivel extension theorem. We do that by showing that our formulation of the L2-extension problem is invariant under bimeromorphic modifications, so that we can reduce the problem to the smooth case by use of an embedded resolution of V in M. The smooth case has recently been studied by Berndtsson.



Denna post skapades 2014-12-04. Senast ändrad 2016-04-28.
CPL Pubid: 207357

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Matematik
Matematisk analys
Geometri

Chalmers infrastruktur