Moduli of roots of line bundles on curves

2004/04/05 by Lucia Caporaso, Caporaso, Lucia, Cinzia Casagrande +3
Mathematics · Physics and Astronomy · #14H10 #14H60 #14K30 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.math/0404078

openalex publication_date 2004/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We treat the problem of completing the moduli space for roots of line bundles on curves. Special attention is devoted to higher spin curves within the universal Picard scheme. Two new different constructions, both using line bundles on nodal curves as boundary points, are carried out and compared with pre-existing ones.

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