A general notion of coherent systems

Abstract

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Higher rank Brill—Noether theory and coherent systems open questions

“…Recently, Schmitt has proposed two definitions for coherent systems of type (ρ, n, d, k)(F ), where F is a line bundle. The obvious extension of the standard definition for standard coherent systems is one of these, but presents some problems over the permissible range for α [97]. The second one is more complicated, but fits well with Schmitt's concept of decorated bundles and has some interesting features [98].…”