Abel-Jacobi map under Schiffer variation
Taejung Kim
TL;DR
This paper explores how the Abel-Jacobi map changes under Schiffer variation, linking hyperellipticity and elliptic solitons deformation.
Contribution
It provides a new characterization of Abel-Jacobi map variation via Schiffer variation and relates it to hyperelliptic curves and elliptic solitons.
Findings
Characterization of Abel-Jacobi map variation using Schiffer variation
Relation between hyperellipticity and Schiffer variation
Description of elliptic solitons deformation under Schiffer variation
Abstract
We characterize how to vary the Abel-Jacobi map in terms of Schiffer variation. From this characterization, we will interpret the relation of hyperellipticity of curves with Schiffer variation and describe the deformation of elliptic solitons under Schiffer variation.
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Taxonomy
TopicsSpectral Theory in Mathematical Physics · Quantum chaos and dynamical systems · Stability and Controllability of Differential Equations