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This paper is devoted to a new proof of the comparison between the derived direct image functor for D-Modules and the construction of the Gauss–Manin connection for smooth morphisms.
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Maurizio Cailotto, Luisa Fiorot, Algebraic connections vs. algebraic <b><var>D</var></b>-modules: inverse and direct images. Port. Math. 66 (2009), no. 3, pp. 303–320DOI 10.4171/PM/1845