On the irreducibility of fibres of complex polynomial mappings.
Krasiński, Tadeusz, Spodzieja, Stanisław (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Krasiński, Tadeusz, Spodzieja, Stanisław (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Karaś, Marek (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Sławomir Cynk, Piotr Tworzewski (1991)
Annales Polonici Mathematici
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Some representations of Nash functions on continua in ℂ as integrals of rational functions of two complex variables are presented. As a simple consequence we get close relations between Nash functions and diagonal series of rational functions.
A. Strzeboński (1991)
Annales Polonici Mathematici
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We are concerned with the set of all growth exponents of regular functions on an algebraic subset V of . 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.
Gurycz, Jerzy (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Denkowski, Maciej P. (2007)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Jacek Chądzyński, Tadeusz Krasiński (1998)
Banach Center Publications
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An effective formula for the Łojasiewicz exponent for analytic curves in a neighbourhood of 0 ∈ ℂ is given.
T. Krasiński (1991)
Annales Polonici Mathematici
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Let F ∈ ℂ[x,y]. Some theorems on the dependence of branches at infinity of the pencil of polynomials f(x,y) - λ, λ ∈ ℂ, on the parameter λ are given.
J. Chądzyński, T. Krasiński (1995)
Annales Polonici Mathematici
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An effective formula for the Łojasiewicz exponent of a polynomial mapping of ℂ² into ℂ² at an isolated zero in terms of the resultant of its components is given.
Sičiak, Józef (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Marek Jarnicki, Peter Pflug (1999)
Studia Mathematica
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Let and be domains and let Φ:G → B be a surjective holomorphic mapping. We characterize some cases in which invariant functions and pseudometrics on G can be effectively expressed in terms of the corresponding functions and pseudometrics on B.
Zbigniew Błocki (1992)
Annales Polonici Mathematici
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We complete the characterization of singular sets of separately analytic functions. In the case of functions of two variables this was earlier done by J. Saint Raymond and J. Siciak.
Skiba, Alicja (2003)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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W. Królikowski, R. Michael Porter (1994)
Annales Polonici Mathematici
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The biregular functions in the sense of Fueter are investigated. In particular, the class of LR-biregular mappings (left regular with a right regular inverse) is introduced. Moreover, the existence of non-affine biregular mappings is established via examples. Some applications to the quaternionic manifolds are given.