Singular Griffiths semi-positivity of higher direct images

Singular Griffiths semi-positivity of higher direct images

We show that the higher direct image sheaves of the relative canonical bundle tensorized with a Nakano semi-positive vector bundle admit singular Hermitian metrics with Griffiths semi-positive curvature and the minimal extension property.

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Veröffentlicht in:Mathematische annalen 2024-04, Vol.388 (4), p.4343-4353
1. Verfasser: Takayama, Shigeharu
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
Sheaves
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Zusammenfassung:We show that the higher direct image sheaves of the relative canonical bundle tensorized with a Nakano semi-positive vector bundle admit singular Hermitian metrics with Griffiths semi-positive curvature and the minimal extension property.
ISSN:0025-5831
1432-1807
DOI:10.1007/s00208-023-02632-8