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The Zariski-Lefschetz principle for higher homotopy groups of nongeneric pencils

Mihai Tibăr

arXiv (Cornell University) · 2002 · 67 citations · 12 references

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Abstract

We prove a general Zariski-van Kampen-Lefschetz type theorem for higher homotopy groups of generic and nongeneric pencils on singular open complex spaces.

References

12

On the Fundamental Group of an Algebraic Curve

Egbert R. Van Kampen · American Journal of Mathematics · 1933 · 245 citations

, , +10

The topology of complex projective varieties after S. Lefschetz

Klaus Lamotke · Topology · 1981 · 168 citations

, , +11

Local homological properties of analytic sets

Dan Burghelea, Andrei Verona · manuscripta mathematica · 1972 · 85 citations

, , +12

Variation mappings on singularities with a 1-dimensional critical locus

Dirk Siersma · Topology · 1991 · 65 citations

, , +8

Homotopy groups of the complements to singular hypersurfaces

Anatoly Libgober · Bulletin of the American Mathematical Society · 1985 · 46 citations · Full text

, , +12