(t,ℓ)-stability and coherent systems

2018/05/17 by Brambila-Paz, L., Mata-Gutiérrez, O.
#14H60 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1805.06601

Abstract

Let X be a non-singular irreducible complex projective curve of genus g≥ 2. We use (t,ℓ)-stability to prove the existence of coherent systems over X that are α-stable for all allowed α>0.

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