The growth of regular functions on algebraic sets

• Autorzy: A. Strzeboński
• Języki publikacji: EN

Abstrakty

EN

We are concerned with the set of all growth exponents of regular functions on an algebraic subset V of $ℂ^n$. We show that its elements form an increasing sequence of rational numbers and we study the dependence of its structure on the geometric properties of V.

Kategorie tematyczne

• 14N99: None of the above, but in this section
• 32H30: Value distribution theory in higher dimensions
• 32J25: Transcendental methods of algebraic geometry

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 1991
• Tom: 55
• Numer: 1
• Strony: 331-341

Daty

wydano

1991

otrzymano

1990-09-06

Twórcy

autor

A. Strzeboński

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

Bibliografia

• [1] R. Draper, Intersection theory in algebraic geometry, Math. Ann. 180 (1969), 1975-2040.
• [2] S. Łojasiewicz, Introduction to Complex Analytic Geometry, Birkhäuser, to appear in 1991.
• [3] D. Mumford, Algebraic Geometry, Vol. 1, Complex Projective Varieties, Springer, Berlin 1976.
• [4] P. Tworzewski and T. Winiarski, Analytic sets with proper projections, J. Reine Angew. Math. 337 (1982), 68-76.
• [5] T. Winiarski, Continuity of total number of intersection, Ann. Polon. Math. 47 (1986), 155-178.