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math-ph2010★ 7 cited
Orbifolds, the A, D, E Family of Caustic Singularities, and Gravitational Lensing
Amir B. Aazami, Arlie O. Petters, Jeffrey M. Rabin
We provide a geometric explanation for the existence of magnification relations for the A, D, E family of caustic singularities, which were established in recent work. In particula…
math-ph2009★ 2 cited
A Universal Magnification Theorem III. Caustics Beyond Codimension Five
Amir B. Aazami, Arlie O. Petters
In the final paper of this series, we extend our results on magnification invariants to the infinite family of A, D, E caustic singularities. We prove that for families of general…
math-ph2009★ 5 cited
A Universal Magnification Theorem II. Generic Caustics up to Codimension Five
Amir B. Aazami, Arlie O. Petters
We prove a theorem about magnification relations for all generic general caustic singularities up to codimension five: folds, cusps, swallowtail, elliptic umbilic, hyperbolic umbil…