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arXiv · 0707.1466

Coherent systems of genus 0, III: Computation of flips for k=1

H. Lange·P. E. Newstead
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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 consider the case $k=1$ and study the variation of the moduli spaces with $α$. We determine inductively the first and last moduli spaces and the flip loci, and give an explicit description for ranks 2 and 3. We also determine the Hodge polynomials explicitly for ranks 2 and 3 and in certain cases for arbitrary rank.

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BibTeXRIS

H. Lange, P. E. Newstead. 2007-10-08. Coherent systems of genus 0, III: Computation of flips for k=1. https://arxiv.org/abs/0707.1466

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