Kirchhoff’s Theorem and Semi-Canonical Representatives for the Tropical Prym Variety

Kirchhoff’s Theorem and Semi-Canonical Representatives for the Tropical Prym Variety

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Intro

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1 of 13

Intro

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Kirchhoff’s Theorem and Semi-Canonical Representatives for the Tropical Prym Variety

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

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