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Distinguishing Brill-Noether loci

2024/06/28 by Asher Auel, Auel, Asher, Richard Haburcak +3
Biochemistry, Genetics and Molecular Biology · #14H10 #14H51 #14J28 #Algebraic Geometry (math.AG) #FOS: Mathematics #Fractal and DNA sequence analysis

paper · pdf · doi:10.48550/arxiv.2406.19993

openalex publication_date 2024/06/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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