Let f and g be two regular functions on U smooth affne variety. Let M be a regular holonomic DU-module. We are interested in the irregularity of the complex f+(Meg). More precisely, we relate the irregularity number at c of the systems Hk__f+(Meg) with the characteristic cycles of the systems Hk(f, g)+(M).
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Céline Roucairol, The Irregularity of the Direct Image of Some <em>D</em>-modules. Publ. Res. Inst. Math. Sci. 42 (2006), no. 4, pp. 923–932DOI 10.2977/PRIMS/1166642192