Algebraic connections vs. algebraic $\mathscr D$-modules: inverse and direct images

Maurizio Cailotto; Luisa Fiorot

doi:10.4171/pm/1845

JournalspmVol. 66, No. 3pp. 303–320

Algebraic connections vs. algebraic $D$ -modules: inverse and direct images

Maurizio Cailotto
Università di Padova, Italy
Luisa Fiorot
Università di Padova, Italy

$Algebraic connections vs. algebraic $\mathscr D$-modules: inverse and direct images cover$

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Abstract

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 $D$ -modules: inverse and direct images. Port. Math. 66 (2009), no. 3, pp. 303–320

DOI 10.4171/PM/1845