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arXiv · 1805.06601

$(t,\ell)$-stability and coherent systems

L. Brambila-Paz·O. Mata-Gutiérrez
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Abstract

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

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L. Brambila-Paz, O. Mata-Gutiérrez. 2018-05-17. $(t,\ell)$-stability and coherent systems. https://arxiv.org/abs/1805.06601

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