2011/06/20 by Helmut A. Hamm, Hamm, Helmut A.
Mathematics · #14J60 #32S50 #53C07 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Meromorphic and Entire Functions
paper · pdf · doi:10.48550/arxiv.1106.3969
openalex publication_date 2011/06/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In his book SGA2, A. Grothendieck proved Lefschetz theorems, in particular for the Picard group. To some extent he was able to deal with vector bundles instead of line bundles. Here we use his methods in order to study vector bundles on quasi-projective varieties instead of projective ones (as Grothendieck did). In particular we look at the case of complex algebraic varieties where we can compare with the complex analytic category. Finally we study vector bundles with a connection where stronger results can be achieved.