Towards the Bertram–Feinberg–Mukai conjecture

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 s...

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Bibliographic Details
Published in:Journal of pure and applied algebra 2016-04, Vol.220 (4), p.1588-1654
Main Author: Zhang, Naizhen
Format: Article
Language:English
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Summary: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.
ISSN:0022-4049
1873-1376
DOI:10.1016/j.jpaa.2015.09.020