On q-complete and q-concave with corners complex manifolds

2007/10/17 by Youssef Alaoui, Alaoui, Youssef
Mathematics · #Advanced Differential Equations and Dynamical Systems #Advanced Topology and Set Theory #Complex Variables (math.CV) #FOS: Mathematics #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.0710.3358

openalex publication_date 2007/10/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31

Abstract

It is proved that if there exists a positive and continuous function f on an n-dimensional complex manifold X, q-convex with corners outside a compact set K⊂ X and which exhausts X from below, then dim_ℂH^p(X,F)<+∞ for any coherent analytic sheaf F on X if p

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