Degree-2 Abel maps for nodal curves
Juliana Coelho, Eduardo Esteves, Marco Pacini
TL;DR
This paper establishes numerical criteria for the existence of degree-2 Abel maps on nodal curves and verifies these conditions through computational experiments on various examples.
Contribution
It introduces specific numerical conditions for degree-2 Abel maps on nodal curves and provides computational verification of these conditions.
Findings
Numerical conditions for degree-2 Abel maps are identified.
Conditions verified on numerous nodal curves using custom scripts.
Results support the validity of the proposed criteria.
Abstract
We present numerical conditions for the existence of natural degree-2 Abel maps for any given nodal curve. Cocoa scripst were written and have so far verified the validity of the conditions for numerous curves.
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