Abstract
In this paper, we resolve the degree-2 Abel map for nodal curves. Our results are based on a previous work of the authors reducing the problem of the resolution of the Abel map to a combinatorial problem via tropical geometry. As an application, we characterize when the (symmetrized) degree-2 Abel map is not injective, a property that, for a smooth curve, is equivalent to the curve being hyperelliptic.
Citation
Alex Abreau. Sally Andria. Marco Pacini. "Degree-2 Abel maps and hyperelleptic curves." Illinois J. Math. 68 (1) 111 - 135, April 2024. https://doi.org/10.1215/00192082-11081256
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