On formal analytic Poincaré lemma

DOI10.3792/pjaa.56.188zbMath0476.32015OpenAlexW2042331763WikidataQ124848005 ScholiaQ124848005MaRDI QIDQ1160317

Akira Fujiki

Publication date: 1980

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.56.188

zbMATH Keywords

resolution of singularitiesformal completionformal analytic Poincare lemmasheaves of holomorphic forms

Mathematics Subject Classification ID

Global theory and resolution of singularities (algebro-geometric aspects) (14E15) Modifications; resolution of singularities (complex-analytic aspects) (32S45) Analytic sheaves and cohomology groups (32C35) Differentials and other special sheaves; D-modules; Bernstein-Sato ideals and polynomials (14F10) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10)

Cites Work

• Unnamed Item
• Topological stability of smooth mappings
• Cohomology with polynomial growth and completion theory
• Monodromy of isolated singularities of hypersurfaces
• On the De Rham cohomology of algebraic varieties

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