Let X be a non-singular irreducible complex projective curve of genus g ≥ 2. The concept of stability of coherent systems over X depends on a positive real parameter α, given then a (finite) family of moduli spaces of coherent systems. We use (t, ℓ)-stability to prove the existence of coherent systems over X that are α-stable for all allowed α > 0.

中文翻译：

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(t, ℓ)-稳定性和相干系统

让X是属的非奇异不可约复射影曲线G≥ 2. 相干系统稳定性的概念X取决于正实参数α，然后给定相干系统的（有限）模空间族。我们用 （t, ℓ)-稳定性来证明相干系统的存在X那是α-所有允许的稳定α> 0。