Semistable reduction of a normal crossing \(\mathbb Q\)-divisor (Q325964)
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scientific article; zbMATH DE number 6637358
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Semistable reduction of a normal crossing \(\mathbb Q\)-divisor |
scientific article; zbMATH DE number 6637358 |
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Semistable reduction of a normal crossing \(\mathbb Q\)-divisor (English)
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11 October 2016
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To simplify the combinatorics of an embedded resolution of a hypersurface singularity, the author introduced embedded \(\mathbb Q\)-resolutions. Here he shows that such a resolution can be used to determine the mixed Hodge structure on the cohomology of the Milnor fibre: basically the same construction as \textit{J. H. M. Steenbrink}'s original one [in: Real and compl. Singul., Proc. Nordic Summer Sch., Symp. Math., Oslo 1976, 525--563 (1977; Zbl 0373.14007)] via semi-stable reduction works. The paper concludes with some examples.
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monodromy
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embedded \(\mathbb Q\)-resolution
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semi-stable reduction
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mixed Hodge structure
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0.8932499
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0.89089894
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0.8902356
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0.88894963
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0.8865085
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0.87510794
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0.87242746
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0.8716525
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0.8687985
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