paper

Comparison theorem for nearby cycles of a morphism without slopes

arXiv:1612.07473 · doi:10.5427/jsing.2017.16b

Abstract

The goal of this article is to prove the comparison theorem between algebraic and topological nearby cycles of a morphism without slopes. We prove in particular that for a family of holomorphic functions without slopes, if we iterate comparison isomorphisms for nearby cycles of each function the result is independent of the order of iteration.

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