Singular curves and their compactified Jacobians
Jesse Leo Kass
TL;DR
This paper surveys the theory of compactified Jacobians for singular curves, emphasizing low genus examples and the Abel map to illustrate their structure and properties.
Contribution
It provides a comprehensive overview of compactified Jacobians for singular curves, highlighting explicit examples and the role of the Abel map.
Findings
Explicit descriptions of low genus compactified Jacobians
Illustrations of the Abel map in singular curve contexts
Insights into the structure of Jacobians for singular curves
Abstract
We survey the theory of the compactified Jacobian associated to a singular curve. We focus on describing low genus examples using the Abel map.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometric and Algebraic Topology · Polynomial and algebraic computation