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- Title
COHERENT SYSTEMS OF GENUS 0 II:: EXISTENCE RESULTS FOR k ≥ 3.
- Authors
LANGE, H.; NEWSTEAD, P. E.
- Abstract
In this paper, we continue the investigation of coherent systems of type (n,d,k) on the projective line which are stable with respect to some value of a parameter α. We work mainly with k < n and obtain existence results for arbitrary k in certain cases, together with complete results for k = 3. Our methods involve the use of the "flips" which occur at critical values of the parameter.
- Subjects
VECTOR bundles; MODULI theory; ANALYTIC spaces; MATHEMATICS; ALGEBRAIC geometry
- Publication
International Journal of Mathematics, 2007, Vol 18, Issue 4, p363
- ISSN
0129-167X
- Publication type
Article
- DOI
10.1142/S0129167X07004072