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Tropical Prym Variety

Updated 6 July 2026
  • Tropical Prym variety is the tropical counterpart of classical Prym varieties defined via harmonic morphisms and norm maps on Jacobians of metric graphs.
  • It features constructions from both free and dilated double covers, with its structure governed by combinatorial decompositions, volume formulas, and principal polarization variations.
  • The theory extends to cyclic covers and integrates matroidal and Coxeter-theoretic insights, linking tropical geometry with algebraic geometry through Abel–Prym maps and tropicalization.

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