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Примыкающая монодромия и тропические характеристические классы

2018

The aim of the project is to develop a technique to study Milnor monodromy of singulairities, adjacent to a given one, in terms of its resolution. The sought technique is particularly intended to provide a new approach to the Monodromy conjecture by Igusa, Denef and Loeser: every pole of the topological zeta-function, associated to a singularity of a holomorphic function, gives rise to an eigenvalue of the monodromy of an adjacent singularity.