A theta function is built on the compactified generalized Jacobian of singular curves to produce universal sections of line bundles of given degree via the translation action and Abel map restriction.
Abenda, On a family of KP multi-line solitons associated to rational degenerations of real hyperelliptic curves and to the finite non-periodic Toda hierarchy, J
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Theta functions for singular curves
A theta function is built on the compactified generalized Jacobian of singular curves to produce universal sections of line bundles of given degree via the translation action and Abel map restriction.