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Coherence of Direct Images of the De Rham Complex

In: Singularities and Computer Algebra

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  • Kyoji Saito

    (The University of Tokyo, Kavli IPMU (WPI), UTIAS)

Abstract

We show the coherence of the direct images of the De Rham complex relative to a flat holomorphic map with suitable boundary conditions. For this purpose, a notion of bi-dg-algebra called the Koszul-De Rham algebra is developed.

Suggested Citation

  • Kyoji Saito, 2017. "Coherence of Direct Images of the De Rham Complex," Springer Books, in: Wolfram Decker & Gerhard Pfister & Mathias Schulze (ed.), Singularities and Computer Algebra, pages 223-256, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-28829-1_11
    DOI: 10.1007/978-3-319-28829-1_11
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