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COHERENT SYSTEMS OF GENUS 0 III: COMPUTATION OF FLIPS FOR k = 1

H. LANGE

Mathematisches Institut, Universität Erlangen-Nürnberg, Bismarckstrasse 1½, D-91054 Erlangen, Germany

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and

P. E. NEWSTEAD

Department of Mathematical Sciences, University of Liverpool, Peach Street, Liverpool L69 7ZL, UK

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https://doi.org/10.1142/S0129167X08005047Cited by:3 (Source: Crossref)

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.

Keywords:

AMSC: Primary: 14H60, Secondary: 14F05, Secondary: 14D20, Secondary: 32L10

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