Conditions for topological and bi-Lipschitz equivalences are derived for mixed Pham-Brieskorn singularities, producing topologically trivial but bi-Lipschitz distinct families plus an invariant for subanalytic outer geometry of associated surfaces.
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Brieskorn-Pham varieties over C satisfy generalized Zariski cancellation, with the product isomorphism implying isomorphism as C*-varieties.
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Lipschitz Geometry of Mixed Pham-Brieskorn Singularities
Conditions for topological and bi-Lipschitz equivalences are derived for mixed Pham-Brieskorn singularities, producing topologically trivial but bi-Lipschitz distinct families plus an invariant for subanalytic outer geometry of associated surfaces.
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Generalized Zariski cancellation for Brieskorn--Pham varieties
Brieskorn-Pham varieties over C satisfy generalized Zariski cancellation, with the product isomorphism implying isomorphism as C*-varieties.