This thesis addresses the realizability problem of canonical divisors in tropical geometry, highlighting the connection with algebraic structures.
This thesis delves into the geometry of abstract tropical curves, exploring their complete linear system and associated tropical submodules. We establish a lower bound on the dimension of tropical submodules in terms of the Baker-Norine rank. Furthermore, the work provides a characterization of realizable canonical divisors, addressing a fundamental problem in connecting tropical geometry to its algebraic counterpart.
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Matthew Dupraz (2025) studied this question.
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