Big and Nef Tautological Vector Bundles over the Hilbert Scheme of Points

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2022
• ISSN: 1815-0659
• Main Author: Oprea, Dragos
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2022
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211726
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Big and Nef Tautological Vector Bundles over the Hilbert Scheme of Points. Dragos Oprea. SIGMA 18 (2022), 061, 21 pages

We study tautological vector bundles over the Hilbert scheme of points on surfaces. For each -trivial surface, we write down a simple criterion ensuring that the tautological bundles are big and nef, and illustrate it by examples. In the 3 case, we extend recent constructions and results of Bini, Bo...