Brill-Noether loci with ramification at two points

2021/08/30 by Montserrat Teixidor i Bigas, Bigas, Montserrat Teixidor i
Mathematics · #14H #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometric and Algebraic Topology #Geometry and complex manifolds #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2108.13469

openalex publication_date 2021/08/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove the injectivity of the Petri map for linear series on a general curve with given ramification at two generic points. We also describe the components of such a set of linear series on a chain of elliptic curves.

Citations

• Stable curves and special divisors: Petri's conjecture

Related

• Brill-Noether loci
• Injectivity of the Petri map for twisted Brill-Noether loci
• Distinguishing Brill-Noether loci
• Some reducible and irreducible Brill-Noether loci
• Linear series on a curve of compact type bridged by a chain of elliptic curves