اشترك بالحزمة الذهبية واحصل على وصول غير محدود شمرا أكاديميا
تسجيل مستخدم جديدOn generated coherent systems and a conjecture of D. C. Butler
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Let $(E,V)$ be a general generated coherent system of type $(n,d,n+m)$ on a general non-singular irreducible complex projective curve. A conjecture of D. C. Butler relates the semistability of $E$ to the semistability of the kernel of the evaluation map $Votimes mathcal{O}_Xto E$. The aim of this paper is to obtain results on the existence of generated coherent systems and use them to prove Butlers Conjecture in some cases. The strongest results are obtained for type $(2,d,4)$, which is the first previously unknown case.
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