Tropical Donagi theorem
Abstract
Abstract The tropical ‐gonal construction was introduced in recent work by the first author and D. Zakharov and structural results for were established. In this paper, we explore the construction for and prove a tropical analogue of Donagi's theorem which states that the tetragonal construction is a triality which preserves Prym varieties. This confirms the speculations in previous work and establishes new results on the non‐injectivity of the tropical Prym–Torelli morphism. Finally, we demonstrate that the tropical ‐gonal construction is poorly behaved under edge contractions, thus preventing any immediate moduli‐theoretic perspective.
Fields of Study & Subjects
Polynomial and algebraic computation
Cryptography and Residue Arithmetic
Algebraic Geometry and Number Theory
Publication details
- Journal / source
- Journal of the London Mathematical Society
- Volume
- 114
- Issue
- 3
- Publication date
- 1 September 2026
- Language
- EN