The degree-2 Abel--Jacobi map for nodal curves - I

2013/04/18 by Marco Pacini, Pacini, Marco
Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.AG

paper · pdf · doi:10.48550/arxiv.1304.5093

21 pages, 1 figure

arxiv created 2013/04/18 · openalex publication_date 2013/04/18 · arxiv updated 2013/04/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let f\col\C\ra B be a regular local smoothing of a nodal curve. In this paper, we find a modular description of the Abel--Néron map having values in Esteves's fine compactified Jacobian and extending the degree-2 Abel--Jacobi map of the generic fiber of f

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