1998/08/24 by Fedor Bogomolov, Bogomolov, Fedor
Mathematics · #14F17 (Primary) #32E05 (Secondary) #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Tensor decomposition and applications #math.AG #msc:14F17 #msc:32E05
paper · pdf · doi:10.48550/arxiv.math/9808103
6 pages, AMSTeX
arxiv created 1998/08/24 · openalex publication_date 1998/08/24 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This article contains a new argument which proves vanishing of the first cohomology for negative vector bundles over a complex projective variety if the rank of the bundle is smaller than the dimension of the base. Similar argument is applied to the construction of holomorphic functions on the universal covering of the complex projective variety .