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Coherence of Direct Images of the De Rham Complex

Kyoji Saito ()
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Kyoji Saito: The University of Tokyo, Kavli IPMU (WPI), UTIAS

A chapter in Singularities and Computer Algebra, 2017, pp 223-256 from Springer

Abstract: 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.

Keywords: Coherence of direct image sheaf; Critical sets; De Rham complex; Koszul complex (search for similar items in EconPapers)
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-28829-1_11

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DOI: 10.1007/978-3-319-28829-1_11

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