Distinguishing Brill-Noether loci
Asher Auel, Richard Haburcak, Andreas Leopold Knutsen
TL;DR
This paper proves the Maximal Brill-Noether Loci conjecture by constructing specific curves with particular linear series, revealing complex relationships between Brill-Noether loci in the moduli space of curves.
Contribution
It establishes the Maximal Brill-Noether Loci conjecture and demonstrates non-containments between Brill-Noether loci through explicit curve constructions.
Findings
Proof of the Maximal Brill-Noether Loci conjecture
Construction of curves with specific linear series
Demonstration of non-containments in Brill-Noether loci
Abstract
We construct curves carrying certain special linear series and not others, showing many non-containments between Brill-Noether loci in the moduli space of curves. In particular, we prove the Maximal Brill-Noether Loci conjecture in full generality.
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Taxonomy
TopicsFractal and DNA sequence analysis