Geometric degree of generically finite extensions.
Karaś, Marek (2001)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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Displaying similar documents to “On the irreducibility of fibres of complex polynomial mappings.”
Geometric degree of generically finite extensions.
The growth of regular functions on algebraic sets
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.
A geometric approach to the Jacobian Conjecture in ℂ²
Ludwik M. Drużkowski (1991)
Annales Polonici Mathematici
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We consider polynomial mappings (f,g) of ℂ² with constant nontrivial jacobian. Using the Riemann-Hurwitz relation we prove among other things the following: If g - c (resp. f - c) has at most two branches at infinity for infinitely many numbers c or if f (resp. g) is proper on the level set (resp. ), then (f,g) is bijective.
Diagonal series of rational functions
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.
Extension of polynomial mappings with a given Łojasiewicz exponent.
Karaś, Marek (2007)
Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica
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On branches at infinity of a pencil of polynomials in two complex variables
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.
On A Combinatorial Problem Connected withFactorizations
Weidong Gao (1997)
Colloquium Mathematicae
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On Garcia numbers.
Brunotte, Horst (2009)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Resolutions of singularities of varieties of Lie algebras of dimensions 3 and 4.
Basili, Roberta (2002)
Journal of Lie Theory
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New examples of effective formulas for holomorphically contractible functions
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.
On the secant varieties to the osculating variety of a Veronese surface
E. Ballico, C. Fontanari (2003)
Open Mathematics
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In this paper we study the k-th osculating variety of the order d Veronese embedding of P n. In particular, for k=n=2 we show that the corresponding secant varieties have the expected dimension except in one case.
Two-rowed -type Hecke algebra representations at roots of unity.
Welsh, T.A. (1995)
Séminaire Lotharingien de Combinatoire [electronic only]
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Characters of finite groups and divisibility problems. (Charaktere endlicher Gruppen und Teilbarkeitsfragen.)
Kerber, Adalbert (1981)
Séminaire Lotharingien de Combinatoire [electronic only]
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