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 other applications to other higher-rank Brill-Noether Problems.

References in corpus (5)

• Limit linear series moduli stacks in higher rank
• Non-emptiness of Brill-Noether loci in M(2,K)
• Effective divisors on \bar{M}_g, curves on K3 surfaces and the Slope Conjecture
• Self maps of P^1 with prescribed ramification in characteristic p
• Linked symplectic forms and limit linear series in rank 2 with special determinant

Cited by in corpus (5)

• The Strong Maximal Rank Conjecture and higher rank Brill--Noether theory
• Expected Dimensions of Higher-rank Brill-Noether Loci
• The non-abelian Brill-Noether divisor on ${\overline{\mathcal{M}}}_{13}$ and the Kodaira dimension of ${\overline{\mathcal{R}}}_{13}$
• Linked symplectic forms and limit linear series in rank 2 with special determinant
• Remarks on Ruled surfaces and rank two bundles with canonical determinant and 4 sections