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Quasihomogeneity of isolated hypersurface singularities and logarithmic cohomology

2006/03/31 by Michel Granger, Mathias Schulze · 1 citation
Mathematics · #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory #Geometry and complex manifolds #math.AG #math.CV #msc:13D45 #msc:14F40 #msc:32S20 #msc:32S65

paper · pdf · doi:10.1007/s00229-006-0037-3

published as Manuscr. Math. 212,4 (2006), 411-416 · 5 pages

openalex publication_date 2006/08/25 · arxiv created 2006/10/31 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We characterize quasihomogeneity of isolated singularities by the injectivity of the map induced by the first differential of the logarithmic differential complex in the top local cohomology supported in the singular point.

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