Algebra Seminar

03/03/2021 - 2:00pm to 3:00pm
Speaker(s) / Presenter(s): 
Angela Hanson, University of Kentucky

Title: Surjectivity of the Wahl Map

Abstract: The Wahl map defines a notion of the derivative on smooth curves. The paper “On the surjectivity of the Wahl map” by Ciliberto, Harris, and Miranda shows that the Wahl map is surjective for general curves of sufficiently high genus using techniques which resemble tropical geometry with a specific family of graphs. We look to generalize their argument and determine the necessary graph criteria which make the Wahl map surjective. We will explore motivation for examining surjectivity of the Wahl map and our generalized results.

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