Rank 2 Bundles with Meromorphic Connections with Poles of Poincaré Rank 1

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2021
• Main Author: Hertling, Claus
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211445
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Rank 2 Bundles with Meromorphic Connections with Poles of Poincaré Rank 1. Claus Hertling. SIGMA 17 (2021), 082, 73 pages

Holomorphic vector bundles on ℂ × , a complex manifold, with meromorphic connections with poles of Poincaré rank 1 along {0} × , arise naturally in algebraic geometry. They are called ()-structures here. This paper takes an abstract point of view. It gives a complete classification of all ()-struct...