Newton weighted-Lê-Yomdin polynomials and $μ$-Zariski pairs of surface singularities (2511.06939v1)

Published 10 Nov 2025 in math.AG

Abstract: We investigate surface singularities defined by weighted-L^e-Yomdin polynomials, with a particular focus on a specific subclass that we refer to as Newton weighted-L^e-Yomdin polynomials. In particular, using polynomials in this subclass, we develop a method to construct new $\mu$-Zariski pairs of surface singularities.

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