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Comparison theorem for nearby cycles of a morphism without slopes

Algebraic Geometry 2017-06-12 v2

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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Cite

@article{arxiv.1612.07473,
  title  = {Comparison theorem for nearby cycles of a morphism without slopes},
  author = {Matthieu Kochersperger},
  journal= {arXiv preprint arXiv:1612.07473},
  year   = {2017}
}

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