Local classification of volume forms in the presence of a hypersurface

DOI10.1007/BF01077291zbMath0661.32017OpenAlexW2062668783MaRDI QIDQ1112984

Alexander Varchenko

Publication date: 1985

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01077291

zbMATH Keywords

holomorphic functionisolated critical pointclassification of differentiable forms

Mathematics Subject Classification ID

Complex-analytic moduli problems (32G13) Local complex singularities (32S05)

Related Items

Transverse Morse lemma for powers of volume forms ⋮ Twisted Picard-Lefschetz formulas ⋮ A converse to a theorem on normal forms of volume forms with respect to a hypersurface ⋮ Volume preserving subgroups of \({\mathcal A}\) and \({\mathcal K}\) and singularities in unimodular geometry ⋮ 3-dimensional \(F\)-manifolds

Cites Work

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• Discrete groups of reflections in the complex ball
• Normal forms of the degrees of a volume form
• Monodromy of isolated singularities of hypersurfaces
• Intégrales asymptotiques et monodromie
• Resolution of Singularities and Division of Distributions