2003/08/08 by Alexandru Dimca, Dimca, Alexandru, Morihiko Saito +1 · 1 citation
Chemistry · Engineering · Mathematics · #32S40 #Algebraic Geometry (math.AG) #FOS: Mathematics #Hydrocarbon exploration and reservoir analysis #Petroleum Processing and Analysis #math.AG #msc:32S40
paper · pdf · doi:10.48550/arxiv.math/0308078
20 pages, minor change
openalex publication_date 2003/08/08 · arxiv created 2004/06/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
For a holomorphic function on a complex manifold, we show that the vanishing cohomology of lower degree at a point is determined by that for the points near it, using the perversity of the vanishing cycle complex. We calculate it explicitly in the case the hypersurface has simple normal crossings outside the point. We also give some applications to the monodromy.