Coherent systems of genus 0

H. Lange; P. E. Newstead

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arXiv · math/0311239

Coherent systems of genus 0

H. Lange·P. E. Newstead

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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.

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BibTeX RIS

H. Lange, P. E. Newstead. 2003-11-14. Coherent systems of genus 0. https://arxiv.org/abs/math/0311239

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