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math.AG2026
The monodromy conjecture for high order poles, and norms of residue antiderivatives
Alexander Esterov
We prove the strong local monodromy conjecture for poles of order at least of the naive motivic zeta-function for a complex polynomial of variables. Moreover, for every s…
math.AG2026
Whitney fold and cusp for algebraic surfaces, and singularities of discriminants
Alexander Esterov, Lev Vladimirov, Aliaksandr Yuran
We describe transversal singularity types of the singular locus of the -discriminant for , and deduce a Whitney type theorem for a coordinate projection of a…