Semistable reduction of a normal crossing \(\mathbb Q\)-divisor
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.
scientific article; zbMATH DE number 6637358
scientific article