Article contents
An analogue of Langton's theorem on valuative criteria for vector bundles
Published online by Cambridge University Press: 14 November 2011
Synopsis
We prove in this paper that on a non-singular projective variety, the χ-semistable functor is proper and the χ-stable functor is separated. This result was proved for μ-stability and μ-semistability by Langton. An essential part of our proof consists in defining a notion of stability between the μ and χ definitions and then proceeding by induction.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 96 , Issue 1-2 , 1984 , pp. 39 - 45
- Copyright
- Copyright © Royal Society of Edinburgh 1984
References
- 2
- Cited by