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

Abstract

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

13 pages, Exposition was improved. No mathematical changes, typos corrected and reference [10] was added

References in corpus (2)

• Geometry of Moduli Stacks of $(k,l)$-stable vector bundles over an algebraic curve
• On generated coherent systems and a conjecture of D. C. Butler