A Unified Analytic Framework for Microlensing Caustics: Geode Solutions and Hyper-Catalan Signatures
We give a preparation-invariant analytic description of image formation near microlensing caustics. After a local Weierstrass preparation at any multiple image (order d ≥ 2), the lens mapping reduces to a single geode variable m satisfying m = U φ ( m )
Gleb Berloff, Natalia G. Berloff
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Iye M.
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