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A tropical version of Donagi's n-gonal construction

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If you have a question about this talk, please contact Dhruv Ranganathan.

The n-gonal construction associates to an étale double cover of an n-gonal curve a new curve of gonality 2^n. For n = 2,3,4 the Prym varieties and Jacobians of the input data and the output are closely related. In an ongoing joint project with Dmitry Zakharov we are describing a purely tropical analog of this construction. In this talk I will give an intuition about the construction as well as a motivating example that suggest a strong connection to Prym varieties.

This talk is part of the Algebraic Geometry Seminar series.

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