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Holomorphic triples of genus 0
Authors:Stefano Pasotti  Francesco Prantil
Institution:(1) Dipartimento di Matematica e Fisica, Universita Cattolica, via Musei 41, 25121 Brescia, Italy;(2) Department of Mathematics, University of Trento, via Sommarive 14, 38050 Povo (TN), Italy
Abstract:Here we study the relationship between the stability of coherent systems and the stability of holomorphic triples over a curve of arbitrary genus. Moreover we apply these results to study some properties and give some examples of holomorphic triples on the projective line.
Keywords:Holomorphic triples  coherent systems  vector bundles  projective line  epistability
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