The local \(\pi _ 1\) of the complement of a hypersurface with normal crossings in codimension 1 is abelian

DOI10.1007/BF02384367zbMath0553.14006MaRDI QIDQ801986

Kyoji Saito, Lê Dũng Tráng

Publication date: 1984

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

complement of a normal crossing divisorZariski theorem on fundamental group

Mathematics Subject Classification ID

Homotopy theory and fundamental groups in algebraic geometry (14F35) Coverings in algebraic geometry (14E20) Low codimension problems in algebraic geometry (14M07)

Related Items

On analytic abelian coverings, Quelques calculs de cohomologie relative, Singularities with critical locus a 1-dimensional complete intersection and transversal type \(A_ 1\), The structure of a class of finite ramified coverings and canonical forms of analytic matrix-functions in a neighborhood of a ramified turning point, A residual duality over Gorenstein rings with application to logarithmic differential forms, Normal crossing properties of complex hypersurfaces via logarithmic residues, The vanishing neighbourhood of non-isolated singularities, Homologically trivial integrable deformations of germs of holomorphic functions, Holonomic functions and prehomogeneous spaces, On the Milnor fibration for \(f(\mathbf{z})\,\overline{g}(\mathbf{z})\), Analytic deformations of pencils and integrable one-forms having a first integral, The simple connectivity of links of singularities with one-dimensional critical locus, On categories of equivariant \(\mathcal{D}\)-modules, Generalized Fuchsian systems of differential equations, On the Milnor fibration for \(f(z)\bar{g}(z)\). II, Theory of functions. Transl. from the Russian, Integrable deformations of foliations: a generalization of Ilyashenko's result, Characterizing normal crossing hypersurfaces, Unnamed Item

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