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Componentwise Geometry and Monodromy of Generalized Lamé Equations

Kuo, Ting-Jung et al.
arXiv (All) · Papers
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analysis-of-pdesclassical-analysis-and-odesdifferential-geometry
We develop a componentwise geometric and monodromy theory for the one-support generalized Lamé equation on an elliptic curve, with singularities at \(0\) and \(\pm p\). Its log-free curve decomposes canonically into irreducible even and non-even components, the former being governed by elliptic Pain
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