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Göteborgs universitets publikationer

Strict and nonstrict positivity of direct image bundles

Författare och institution:
Bo Berndtsson (Institutionen för matematiska vetenskaper, matematik, Chalmers/GU)
Publicerad i:
Mathematische Zeitschrift, 269 ( 3-4 ) s. 1201-1218
ISSN:
0025-5874
Publikationstyp:
Artikel, refereegranskad vetenskaplig
Publiceringsår:
2011
Språk:
engelska
Fulltextlänk:
Sammanfattning (abstract):
This paper is a sequel to (Berndtsson in Ann Math 169:531-560, 2009). In that paper we studied the vector bundle associated to the direct image of the relative canonical bundle of a smooth Kahler morphism, twisted with a semipositive line bundle. We proved that the curvature of a such vector bundles is always semipositive (in the sense of Nakano). Here we address the question if the curvature is strictly positive when the Kodaira-Spencer class does not vanish. We prove that this is so provided the twisting line bundle is strictly positive along fibers, but not in general.
Ämne (baseras på Högskoleverkets indelning av forskningsämnen):
NATURVETENSKAP ->
Matematik
Nyckelord:
manifolds, space
Postens nummer:
150751
Posten skapad:
2011-12-22 09:38
Posten ändrad:
2016-09-14 16:09

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