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math.AG2024
On metric equivalence of the Brieskorn-Pham hypersurfaces
Alexandre Fernandes, Zbigniew Jelonek, José Edson Sampaio
We show that two bi-Lipschitz equivalent Brieskorn-Pham hypersurfaces have the same multiplicities at . Moreover we show that if two algebraic -dimensional cones $P, R\su…
math.AG2024
Hölder invariance of the Henry-Parusinski invariant
Alexandre Fernandes, José Edson Sampaio, Joserlan Perote da Silva
In this article, we show the Hölder invariance of the Henry-Parusinski invariant. For a single germ , the Henry-Parusinski invariant of is given in terms of the leading c…