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math.CV2025
Proof of the metric Arnold's corank problem
Aexandre Fernandes, Zbigniew Jelonek, José Edson Sampaio
In this article, we approach the Arnold corank problem, posed by Arnold in 1975, which asks whether the corank of holomorphic functions is an ambient topological invariant. Here, w…
math.AG2025
On the Milnor fibres of initial forms of topologically equivalent holomorphic functions
José Edson Sampaio
Budur, Fernandes de Bobadilla, Le and Nguyen (2022) conjectured that if two germs of holomorphic functions are topologically equivalent, then the Milnor fibres of their initial for…