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The Irregularity of the Direct Image of Some $\mathcal D$-modules
Author(s) -
Céline Roucairol
Publication year - 2006
Publication title -
publications of the research institute for mathematical sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.786
H-Index - 39
eISSN - 1663-4926
pISSN - 0034-5318
DOI - 10.2977/prims/1166642192
Subject(s) - mathematics , image (mathematics) , pure mathematics , combinatorics , computer vision , computer science
Let f and g be two regular functions on U smooth affine variety. Let M be a regular holonomic DU -module. We are interested in the irregularity of the complex f+(Me g ). More precisely, we relate the irregularity number at c of the systems H k f+(Me g ) with the characteristic cycles of the systems H k (f,g)+(M).

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