The degree-2 Abel-Jacobi map for nodal curves - II
Marco Pacini
TL;DR
This paper constructs a resolution of the degree-2 Abel-Jacobi map for a regular smoothing of a nodal curve, advancing the understanding of Abel-Jacobi maps in algebraic geometry.
Contribution
It provides a novel construction of a resolution for the degree-2 Abel-Jacobi map in the context of nodal curves.
Findings
Resolution of the degree-2 Abel-Jacobi map achieved
Enhanced understanding of Abel-Jacobi maps for nodal curves
Framework applicable to regular smoothings of nodal curves
Abstract
We construct a resolution of the degree-2 Abel-Jacobi map for a regular smoothing of a nodal curve.
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Taxonomy
TopicsGeometry and complex manifolds · Geometric Analysis and Curvature Flows · Algebraic Geometry and Number Theory