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- Title
COHERENT SYSTEMS OF GENUS 0.
- Authors
LANGE, H.; NEWSTEAD, P. E.
- Abstract
In this paper we begin the classification of coherent systems (E,V) on the projective line which are stable with respect to some value of a parameter α. In particular we show that the moduli spaces, if non-empty, are always smooth and irreducible of the expected dimension. We obtain necessary conditions for non-emptiness and, when dim V=1 or 2, we determine these conditions precisely. We also obtain partial results in some other cases.
- Subjects
MODULI theory; FIBER spaces (Mathematics); VECTOR bundles; FUNCTIONS of several complex variables; ALGEBRAIC geometry; ANALYTIC spaces
- Publication
International Journal of Mathematics, 2004, Vol 15, Issue 4, p409
- ISSN
0129-167X
- Publication type
Article
- DOI
10.1142/S0129167X04002326