The growth of regular functions on algebraic sets

A. Strzeboński

Annales Polonici Mathematici (1991)

  • Volume: 55, Issue: 1, page 331-341
  • ISSN: 0066-2216

Abstract

top
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.

How to cite

top

A. Strzeboński. "The growth of regular functions on algebraic sets." Annales Polonici Mathematici 55.1 (1991): 331-341. <http://eudml.org/doc/262520>.

@article{A1991,
abstract = {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.},
author = {A. Strzeboński},
journal = {Annales Polonici Mathematici},
keywords = {growth of regular functions; algebraic sets; growth exponent},
language = {eng},
number = {1},
pages = {331-341},
title = {The growth of regular functions on algebraic sets},
url = {http://eudml.org/doc/262520},
volume = {55},
year = {1991},
}

TY - JOUR
AU - A. Strzeboński
TI - The growth of regular functions on algebraic sets
JO - Annales Polonici Mathematici
PY - 1991
VL - 55
IS - 1
SP - 331
EP - 341
AB - 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.
LA - eng
KW - growth of regular functions; algebraic sets; growth exponent
UR - http://eudml.org/doc/262520
ER -

References

top
  1. [1] R. Draper, Intersection theory in algebraic geometry, Math. Ann. 180 (1969), 1975-2040. 
  2. [2] S. Łojasiewicz, Introduction to Complex Analytic Geometry, Birkhäuser, to appear in 1991. 
  3. [3] D. Mumford, Algebraic Geometry, Vol. 1, Complex Projective Varieties, Springer, Berlin 1976. 
  4. [4] P. Tworzewski and T. Winiarski, Analytic sets with proper projections, J. Reine Angew. Math. 337 (1982), 68-76. Zbl0497.32024
  5. [5] T. Winiarski, Continuity of total number of intersection, Ann. Polon. Math. 47 (1986), 155-178. Zbl0638.32011

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.