Książki/Rozdziały | Books/Chapters: Recent submissions
Now showing items 81-100 of 122
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Formal and convergent solutions of analytic equations
(Łódź University Press, 2017)We provide the detailed proof of a sharpened version of the M. Artin Approximation Theorem. -
Divergence-free polynomial derivations
(Łódź University Press, 2017)In this paper we present some new and old properties of divergences and divergence-free derivations. -
Rational constants of cyclotomic derivations
(Łódź University Press, 2017) -
Rationality of semialgebraic functions
(Łódź University Press, 2017)Let X be an algebraic subset of Rⁿ, and ƒ: X → R a semialgebraic function. We prove that if ƒ is continuous rational on each curve C ⊂ X then: 1) ƒ is arc-analytic, 2) ƒ is continuous rational on X. As a consequence we ... -
A note on square-free factorizations
(Łódź University Press, 2017)We analyze properties of various square-free factorizations in greatest common divisor domains (GCD-domains) and domains satisfying the ascending chain condition for principal ideals (ACCP-domains). -
Vector bundles and blowups
(Łódź University Press, 2017)Let X be a nonsingular quasi-projective complex algebraic variety and let E be an algebraic vector bundle on X of rank r ≥ 2. The pullback of E by the blowup of X at a suitably chosen nonsingular subvariety of X of codimension ... -
The Łojasiewicz exponent via the valuative Hamburger-Noether process
(Łódź University Press, 2017)Let k be an algebraically closed field of any characteristic. We apply the Hamburger-Noether process of successive quadratic transformations to show the equivalence of two definitions of the Łojasiewicz exponent £ (a) of ... -
On a generic symmetry defect hypersurface
(Łódź University Press, 2017)We show that symmetry defect hypersurfaces for two generic members of the irreducible algebraic family of n-dimensional smooth irreducible subvarieties in general position in C²ⁿ are homeomorphic and they have homeomorphic ... -
A short proof that equisingular plane curve singularities are topologically equivalent
(Łódź University Press, 2017)We prove that if two plane curve singularities are equisingular, then they are topologically equivalent. The method we will use is P. Fortuny Ayuso’s who proved this result for irreducible plane curve singularities. -
Wielomiany i szeregi potęgowe
(Łódź University Press, 2017) -
Wielomiany i szeregi potęgowe
(Łódź University Press, 2017) -
Polynomials and power series
(Łódź University Press, 2017) -
Note about Shreeram Shankar Abhyankar (1930–2012)
(Łódź University Press, 2017) -
Krzysztof Kurdyka – Scientific biography
(Łódź University Press, 2017) -
Kamil Rusek – Scientific biography
(Łódź University Press, 2017) -
Arkadiusz Płoski- Scientific biography
(Łódź University Press, 2017) -
Preface
(Łódź University Press, 2017) -
The jump of Milnor numbers in families of non-degenerate and non-convenient singularities
(Wydawnictwo Uniwersytetu Łódzkiego, 2013)The non-degenerate jump of the Milnor number of an isolated singularity f0 is the minimal non-zero difference between the Milnor numbers of f0 and one of its non-degenerate deformations (fs). In the paper the results by ... -
On combinatorial criteria for isolated singularities
(Wydawnictwo Uniwersytetu Łódzkiego, 2013)In this article we review combinatorial characterizations of isolated singularities. As a new result in two and three-dimensional case we give sufficient and necessary conditions for a nondegenerate singularity to be ... -
Rings of constants of polynomial derivations and p-bases
(Wydawnictwo Uniwersytetu Łódzkiego, 2013)We present a survey of results concerning p-bases of rings of constants with respect to polynomial derivations in characteristic p > 0. We discuss characterizations of rings of constants, properties of their generators and ...