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arxiv: 1110.4840 · v4 · pith:MGUZRE25new · submitted 2011-10-21 · 🧮 math.AG

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

classification 🧮 math.AG
keywords filtrationhodgeinfinitylimitmixedmonodromypolynomialsstructure
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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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