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Weight filtration of the limit mixed Hodge structure at infinity for tame polynomials

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Abstract

We give three new proofs of a theorem of C. Sabbah asserting that the weight filtration of the limit mixed Hodge structure at infinity of cohomologically tame polynomials coincides with the monodromy filtration up to a certain shift depending on the unipotent or non-unipotent monodromy part.

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Authors and Affiliations

  1. Institut Universitaire de France et Laboratoire J.A. Dieudonné, UMR du CNRS 7351, Université de Nice-Sophia Antipolis, Parc Valrose, 06108, Nice Cedex 02, France

    Alexandru Dimca

  2. RIMS Kyoto University, Kyoto, 606-8502, Japan

    Morihiko Saito

Authors
  1. Alexandru Dimca
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  2. Morihiko Saito
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Correspondence to Alexandru Dimca.

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Dimca, A., Saito, M. Weight filtration of the limit mixed Hodge structure at infinity for tame polynomials. Math. Z. 275, 293–306 (2013). https://doi.org/10.1007/s00209-012-1135-4

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  • DOI: https://doi.org/10.1007/s00209-012-1135-4

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