On irreducible components of a Weierstrass-type variety

• Autorzy: Romuald A. Janik
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

branched covering; Weierstrass-type variety; Galois theory

Kategorie tematyczne

• 12F10: Separable extensions, Galois theory
• 32C25: Analytic subsets and submanifolds
• 32B15: Analytic subsets of affine space
• 14E20: Coverings

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1997
• Tom: 67
• Numer: 2
• Strony: 169-178

Daty

wydano

1997

otrzymano

1996-05-20

poprawiono

1996-08-30

Twórcy

autor

Romuald A. Janik

• Institute of Physics, Jagiellonian University, Reymonta 4, 30-059 Kraków, Poland

Bibliografia

• [1] S. Balcerzyk and T. Józefiak, Commutative Noetherian and Krull Rings, PWN, Warszawa, and Ellis Horwood, Chichester, 1989.
• [2] N. Jacobson, Lectures in Abstract Algebra, Vol. III, Grad. Texts in Math. 32, Springer, 1964.
• [3] S. Łojasiewicz, Introduction to Complex Analytic Geometry, Birkhäuser, 1991.
• [4] S. G. Krantz, Function Theory of Several Complex Variables, Wiley, New York, 1982.
• [5] P. Tworzewski, Intersections of analytic sets with linear subspaces, Ann. Scuola Norm. Sup. Pisa 17 (1990), 227-271.
• [6] H. Whitney, Complex Analytic Varieties, Addison-Wesley, 1972.