Convexity with respect to weakly $q$-concave line bundles and reduction

Viorel Vâjâitu

doi:10.1216/RMJ-2019-49-4-1335

Abstract

We reconsider intermediate holomorphic convexity introduced by Barlet and Silva in the more general case of convexity with respect to hermitian holomorphic line bundles whose weight functions are (weakly) $q$-convex. Also we give completeness and Kahler properties of the canonical reduction.

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Viorel Vâjâitu. "Convexity with respect to weakly $q$-concave line bundles and reduction." Rocky Mountain J. Math. 49 (4) 1335 - 1354, 2019. https://doi.org/10.1216/RMJ-2019-49-4-1335

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Published: 2019

First available in Project Euclid: 29 August 2019

zbMATH: 07104720

MathSciNet: MR3998924

Digital Object Identifier: 10.1216/RMJ-2019-49-4-1335

Subjects:

Primary: 32F10

Secondary: 32E05 , 32E99

Keywords: $q$-convex function , (weakly) $q$-concave line bundle , Grauert's line bundle convexity , holomorphic reduction

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