On the Brill-Noether loci of a curve embedded in a K3 surface

2018/10/16 by Pagano, Luigi
#14H51 #14H60 #14J28 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1810.07166

Abstract

We extend a previous result of Feyzbakhsh concerning the injectivity of a map of moduli spaces and we use this result to construct curves whose Brill-Noether loci have unexpected dimension.

Related

• Brill-Noether loci
• Distinguishing Brill-Noether loci
• Maximal Brill-Noether loci via K3 surfaces
• Brill--Noether loci in genus ≤ 12
• Non-Abelian Brill-Noether theory and Fano 3-folds