Towards the Bertram Feinberg Mukai Conjecture
Abstract In this paper, we prove the existence portion of the Bertram Feinberg Mukai Conjecture for an infinite family of new cases using degeneration technique. This not only leads to a substantial improvement of known results but also develops finer tools for analyzing the moduli of rank two limit linear series which should be useful for applications to other higher rank Brill Noether problems.