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Double covers of graphs and metric graphs
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Classroom Contents
Kirchhoff’s Theorem and Semi-Canonical Representatives for the Tropical Prym Variety
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- 1 Intro
- 2 Kirchhoff's matrix tree theorem
- 3 Divisors and linear equivalence on metric graphs
- 4 The Jacobian and Picard groups of a metric graph
- 5 Kirchhoff's theorem for metric graphs
- 6 Geometric interpretation of the volume formula
- 7 Structure of the tropical Abel-Jacobi map
- 8 ABKS decomposition of the Jacobian
- 9 Double covers of graphs and metric graphs
- 10 The discrete Prym for double covers of finite graphs
- 11 Construction of double covers of graphs
- 12 The volume of the tropical Prym variety
- 13 Geometrization of the volume formula and Abel-Prym map
