Criteria for the ampleness of certain vector bundles.
- Resource Type
- Article
- Authors
- Biswas, Indranil; Pingali, Vamsi Pritham
- Source
- Proceedings of the American Mathematical Society. May2024, Vol. 152 Issue 5, p1961-1968. 8p.
- Subject
- *VECTOR bundles
- Language
- ISSN
- 0002-9939
We prove that certain vector bundles over surfaces are ample if they are so when restricted to divisors, certain numerical criteria hold, and they are semistable (with respect to \det (E)). This result is a higher-rank version of a theorem of Schneider and Tancredi for vector bundles of rank two over surfaces. We also provide counterexamples indicating that our theorem is sharp. [ABSTRACT FROM AUTHOR]