# The growth of regular functions on algebraic sets

Annales Polonici Mathematici (1991)

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

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topA. 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] 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. Zbl0497.32024
- [5] T. Winiarski, Continuity of total number of intersection, Ann. Polon. Math. 47 (1986), 155-178. Zbl0638.32011

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