Compactified Jacobians, Abel maps and Theta divisors
Lucia Caporaso
TL;DR
This paper provides an overview of the relationships between compactified Jacobians, Abel maps, and Theta divisors, highlighting their mathematical properties and significance in algebraic geometry.
Contribution
It offers an expository synthesis of the interplay between these fundamental objects in algebraic geometry, clarifying their roles and connections.
Findings
Summarizes key properties of compactified Jacobians
Explores the structure of Abel maps in various contexts
Discusses the significance of Theta divisors in geometry
Abstract
This is an expository paper about the topics listed in the title.
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Taxonomy
TopicsAdvanced Differential Equations and Dynamical Systems · Quantum chaos and dynamical systems · Nonlinear Waves and Solitons