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

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

2007-07-10

arxiv.org/abs/0707.1466v2

Mathematics

Algebraic Geometry

Two improved formulae, an additional comment and a new reference

Scientific paper

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 $\alpha$. We consider the case $k=1$ and study the variation of the moduli spaces with $\alpha$. 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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