Brill-Noether-special chains of loops

Abstract

I will classify the special divisors on a metric graph formed as a chain of loops with arbitrary edge lengths. In particular, I will state a necessary and sufficient criterion for a chain of loops to be Brill-Noether general (in the sense of Cools, Draisma, Payne, and Robeva). As an application, I will state an analog of the Brill-Noether theorem for algebraic curves of fixed gonality, by specializing to chains of loops with special edge lengths.Non UBCUnreviewedAuthor affiliation: Brown UniversityPostdoctora

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