Higher rank Brill-Noether theory and coherent systems: Open questions

Abstract

This article presents a list of open questions on higher rank Brill-Noether theory and coherent systems. Background material and appropriate references are included.

26 pages, 2 additional references. Final version for publication in Proyecciones. Question 4.3 deleted (it has been solved); 4.4 renumbered as 4.3. New Question 8.7; old 8.7 renumbered as 8.8. A few typos corrected and some minor corrections, clarifications and comments inserted. Solutions, including partial solutions, and comments are welcome; I plan to update the file from time to time