Now showing items 1-20 of 121

    • A family of hyperbolas associated to a triangle 

      Zięba, Maciej (Wydawnictwo Uniwersytetu Łódzkiego, 2019)
      In this note, we explore an apparently new one parameter family of conics associated to a triangle. Given a triangle we study ellipses whose one axis is parallel to one of sides of the triangle. The centers of these ellipses ...
    • A few introductory remarks on line arrangements 

      Szpond, Justyna (Wydawnictwo Uniwersytetu Łódzkiego, 2019)
      Points and lines can be regarded as the simplest geometrical objects. Incidence relations between them have been studied since ancient times. Strangely enough our knowledge of this area of mathematics is still far from ...
    • A Modest Review of a Great Deal of Work 

      Humke, Paul D. (Wydawnictwo Uniwersytetu Łódzkiego, 2013)
    • A non-containment example on lines and a smooth curve of genus 10 

      Janasz, Marek; Malara, Grzegorz (Wydawnictwo Uniwersytetu Łódzkiego, 2019)
      The containment problem between symbolic and ordinary powers of homogeneous ideals has stimulated a lot of interesting research recently. In the most basic case of points in P2 and powers I(3) and I2, there is a number of ...
    • A note on divergence-free polynomial derivations in positive characteristic 

      Jędrzejewicz, Piotr (Wydawnictwo Uniwersytetu Łódzkiego, 2019)
      In this paper we discuss an explicit form of divergence-free polynomial derivations in positive characteristic. It involves Jacobian derivations.
    • A note on square-free factorizations 

      Jędrzejewicz, Piotr; Matysiak, Łukasz; Zieliński, Janusz (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).
    • A note on the Łojasiewicz exponent of non-degenerate isolated hypersurface singularities 

      Brzostowski, Szymon ORCID (Wydawnictwo Uniwersytetu Łódzkiego, 2019)
      We prove that in order to find the value of the Łojasiewicz exponent ł(f) of a Kouchnirenko non-degenerate holomorphic function f : (Cn; 0) → (C; 0) with an isolated singular point at the origin, it is enough to find this ...
    • A short proof that equisingular plane curve singularities are topologically equivalent 

      Brzostowski, Szymon ORCID; Krasinski, Tadeusz ORCID; Walewska, Justyna ORCID (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.
    • An estimation of the jump of the Milnor number of plane curve singularities 

      Zakrzewska, Aleksandra (Wydawnictwo Uniwersytetu Łódzkiego, 2022)
      Skokiem liczby Milnora osobliwości izolowanej nazywamy najmniejszą niezerową różnicę między liczbą Milnora osobliwości a liczbą Milnora jednej z jej osobliwości. W pracy za pomocą diagramów Enriquesa wyznaczone zostały ...
    • An invitation to the positivity and geometry of algebraic cycles 

      Szpond, Justyna (Wydawnictwo Uniwersytetu Łódzkiego, 2022)
      The purpose of this work is an introduction and overview of geometric and numeric properties of algebraic cycles in smooth projective varieties. We recall or propose several problems, which we consider worth to study. We ...
    • Analitic and Algebraic Geometry 4 

      Krasiński, Tadeusz; Spodzieja, Stanisław ORCID (Wydawnictwo Uniwersytetu Łódzkiego, 2022)
      This volume (the fourth in the series) is dedicated to two mathematicians: Wojciech Kucharz, who celebrates 70th anniversary in 2022 and Tadeusz Winiarski who celebrated the 80th anniversary in 2020. These people were ...
    • Andrzej Nowicki – Scientific biography 

      Krasiński, Tomasz; Spodzieja, Stanisław ORCID (Wydawnictwo Uniwersytetu Łódzkiego, 2019)
    • Arkadiusz Płoski- Scientific biography 

      Krasinski, Tadeusz ORCID; Spodzieja, Stanisław ORCID (Łódź University Press, 2017)
    • Axial functions 

      Szyszkowski, Marcin (Wydawnictwo Uniwersytetu Łódzkiego, 2013)
    • Bézout’s inequality for real polynomials 

      Płoski, Arkadiusz; Sękalski, Maciej (Łódź University Press, 2017)
      Let F(X, Y ), G(X, Y ) be polynomials of degrees m, n > 0 respectively. We prove, that the set {(x, y) Є R² : F(x, y) = G(x, y) = 0} has at most mn connected components.
    • Bilinear mappings – selected properties and problems 

      Balcerzak, Marek; Strobin, Filip; Wachowicz, Artur (Wydawnictwo Uniwersytetu Łódzkiego, 2013)
    • Contact exponent and the Milnor number of plane curve singularities 

      Barroso, Evelia Rosa Garcia; Płoski, Arkadiusz (Wydawnictwo Uniwersytetu Łódzkiego, 2019)
      We investigate properties of the contact exponent (in the sense of Hironaka [Hi]) of plane algebroid curve singularities over algebraically closed fields of arbitrary characteristic. We prove that the contact exponent is ...
    • Continuity connected with ψ-density 

      Filipczak, Małgorzata ORCID; Terepeta, Małgorzata (Wydawnictwo Uniwersytetu Łódzkiego, 2015)
    • Convergence of sequences of measurable functions 

      Wagner-Bojakowska, Elżbieta; Wilczyński, Władysław (Wydawnictwo Uniwersytetu Łódzkiego, 2013)
    • Convexifying of polynomials by convex factor 

      Abdullah, Abdulljabar Naji; Rosiak, Klaudia; Spodzieja, Stanisław ORCID (Wydawnictwo Uniwersytetu Łódzkiego, 2022)
      W pracy podajemy nowe wyniki dotyczące "uwypuklania" wielomianów rzeczywistych, a w szczególności uogólniamy niektóre z rezultatów z pracy K. Kurdyka, S. Spodzieja, „Convexifying positive polynomials and sums of squares ...