Coherence of direct images of the De Rham complex

2015/02/17 by Kyoji Saito, Saito, Kyoji
Mathematics · #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #FOS: Mathematics #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #math.AG

paper · pdf · doi:10.48550/arxiv.1502.04872

24 pages, revised

openalex publication_date 2015/02/17 · arxiv created 2016/11/30 · arxiv updated 2016/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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-algbera called the Koszul-De Rham algbera is dveloped.

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