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

Författare och institution:
Håkan Samuelsson (Institutionen för matematiska vetenskaper, matematik, Chalmers/GU); Elizabeth Wulcan (Institutionen för matematiska vetenskaper, matematik, Chalmers/GU); Jean Ruppenthal (-)
Antal sidor:
20
Publikationstyp:
Rapport
Publiceringsår:
2012
Språk:
engelska
Fulltextlänk:
Sammanfattning (abstract):
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.
Ämne (baseras på Högskoleverkets indelning av forskningsämnen):
NATURVETENSKAP ->
Matematik
NATURVETENSKAP ->
Matematik ->
Matematisk analys
NATURVETENSKAP ->
Matematik ->
Geometri
Postens nummer:
207357
Posten skapad:
2014-12-04 13:15
Posten ändrad:
2016-04-28 09:57

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