ArticleOriginal scientific text
Title
On irreducible components of a Weierstrass-type variety
Authors 1
Affiliations
- Institute of Physics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland
Abstract
We give a characterization of the irreducible components of a Weierstrass-type (W-type) analytic (resp. algebraic, Nash) variety in terms of the orbits of a Galois group associated in a natural way to this variety. Since every irreducible variety of pure dimension is (locally) a component of a W-type variety, this description may be applied to any such variety.
Keywords
branched covering, Weierstrass-type variety, Galois theory
Bibliography
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- P. Tworzewski, Intersections of analytic sets with linear subspaces, Ann. Scuola Norm. Sup. Pisa 17 (1990), 227-271.
- H. Whitney, Complex Analytic Varieties, Addison-Wesley, 1972.
Pages:
169-178
Main language of publication
English
Received
1996-05-20
Accepted
1996-08-30
Published
1997
Exact and natural sciences