Rational functions without poles in a compact set
Colloquium Mathematicae (2006)
- Volume: 106, Issue: 1, page 119-125
- ISSN: 0010-1354
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topW. Kucharz. "Rational functions without poles in a compact set." Colloquium Mathematicae 106.1 (2006): 119-125. <http://eudml.org/doc/286242>.
@article{W2006,
abstract = {Let X be an irreducible nonsingular complex algebraic set and let K be a compact subset of X. We study algebraic properties of the ring of rational functions on X without poles in K. We give simple necessary conditions for this ring to be a regular ring or a unique factorization domain.},
author = {W. Kucharz},
journal = {Colloquium Mathematicae},
keywords = {rational function; ring of fractions; Picard group; cohomology group},
language = {eng},
number = {1},
pages = {119-125},
title = {Rational functions without poles in a compact set},
url = {http://eudml.org/doc/286242},
volume = {106},
year = {2006},
}
TY - JOUR
AU - W. Kucharz
TI - Rational functions without poles in a compact set
JO - Colloquium Mathematicae
PY - 2006
VL - 106
IS - 1
SP - 119
EP - 125
AB - Let X be an irreducible nonsingular complex algebraic set and let K be a compact subset of X. We study algebraic properties of the ring of rational functions on X without poles in K. We give simple necessary conditions for this ring to be a regular ring or a unique factorization domain.
LA - eng
KW - rational function; ring of fractions; Picard group; cohomology group
UR - http://eudml.org/doc/286242
ER -
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