A local ampleness criterion of torsion free sheaves

DOI10.1016/j.bulsci.2013.01.001zbMath1284.32010OpenAlexW2010985872MaRDI QIDQ385943

Shigeharu Takayama

Publication date: 13 December 2013

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2013.01.001

zbMATH Keywords

weak positivitybig sheaflocal amplenesssingular Hermitian metric

Mathematics Subject Classification ID

Transcendental methods of algebraic geometry (complex-analytic aspects) (32J25)

Related Items (1)

Restricted volumes on Kähler manifolds

Cites Work

• Unnamed Item
• Extension of twisted Hodge metrics for Kähler morphisms
• On Kähler fiber spaces over curves
• Zariski-decomposition and abundance
• Higher direct images of canonical sheaves tensorized with semi-positive vector bundles by proper Kähler morphisms
• Curvature of vector bundles associated to holomorphic fibrations
• On complex manifolds with positive tangent bundles
• Hodge metrics and the curvature of higher direct images
• Restricted volumes and base loci of linear series
• Estimations $\mathrm{L}^2$ pour l'opérateur $\bar \partial$ d'un fibré vectoriel holomorphe semi-positif au-dessus d'une variété kählérienne complète

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