Książki/Rozdziały | Books/Chapters: Recent submissions

Now showing items 21-40 of 128

    • Some notes on the Lê numbers in the family of line singularities 

      Oleksik, Grzegorz; Różycki, Adam (Wydawnictwo Uniwersytetu Łódzkiego, 2022)
      W pracy wprowadzamy skoki liczb Le nieizolowanych osobliwości hiperpowierzchni w rodzinie deformacji o jednowymiarowym, gładkim zbiorze punktów krytycznych. Co więcej, udowadniamy istnienie deformacji takiej, że pierwsza ...

    • Real Nullstellensatz and sums of squares 

      Michalska, Maria (Wydawnictwo Uniwersytetu Łódzkiego, 2022)
      In this paper we highlight the foundational principles of sums of squares in the study of Real Algebraic Geometry. To this aim the article is designed as mainly a self-contained presentation of a variation of the standard ...

    • Notes on noncommutative LP and Orlicz spaces 

      Goldstein, Stanisław; Labuschagne, Louis (Wydawnictwo Uniwersytetu Łódzkiego, 2020)
      Since the pioneering work of Dixmier and Segal in the early 50’s, the theory of noncommutative LP-spaces has grown into a very refined and important theory with wide applications. Despite this fact there is as yet no ...

    • Deterministyczne procedury obliczeniowe tomografii grawitacyjnej we współrzędnych ortogonalnych i sferycznych 

      Bednarek, Stanisław (Wydawnictwo Uniwersytetu Łódzkiego, 2020)
      W monografii przedstawiono autorskie metody obliczeń, które pozwalają na wyznaczenie gęstości mas w zadanym obszarze na podstawie pomiarów przyspieszenia siły ciężkości, wykonanych na zewnątrz tego obszaru. Szczegółowo ...

    • Gelfond-Mahler inequality for multipolynomial resultants 

      Gala-Jaskórzynska, Aleksandra; Kurdyka, Krzysztof; Rudnicka, Katarzyna; Spodzieja, Stanisław (Wydawnictwo Uniwersytetu Łódzkiego, 2019)
      We give a bound of the height of a multipolynomial resultant in terms of polynomial degrees, the resultant of which applies. Additionally we give a Gelfond-Mahler type bound of the height of homogeneous divisors of a ...

    • 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 ...

    • Rings and fields of constants of cyclic factorizable derivations 

      Zieliński, Janusz (Wydawnictwo Uniwersytetu Łódzkiego, 2019)
      We present a survey of the research on rings of polynomial constants and fields of rational constants of cyclic factorizable derivations in polynomial rings over fields of characteristic zero.

    • 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 ...

    • Extremal properties of line arrangements in the complex projective plane 

      Pokora, Piotr (Wydawnictwo Uniwersytetu Łódzkiego, 2019)
      In the present note we study some extreme properties of point-line configurations in the complex projective plane from a viewpoint of algebraic geometry. Using Hirzebruch-type inequalites we provide some new results on ...

    • Finitely generated subrings of R[x] 

      Nowicki, Andrzej (Wydawnictwo Uniwersytetu Łódzkiego, 2019)
      In this article all rings and algebras are commutative with identity, and we denote by R[x] the ring of polynomials over a ring R in one variable x. We describe rings R such that all subalgebras of R[x] are finitely generated ...

    • On the dual Hesse arrangement 

      Lampa-Baczyńska, Magdalena; Wójcik, Daniel (Wydawnictwo Uniwersytetu Łódzkiego, 2019)
      In the present note we investigate to which extent the configuration of 9 lines intersecting in triples in 12 points is determined by these incidences. We show that up to a projective automorphism there is exactly one such ...

    • Knots of irreducible curve singularities 

      Krasinski, Tadeusz (Wydawnictwo Uniwersytetu Łódzkiego, 2019)
      In the article the relation between irreducible curve plane singularities and knots is described. In these terms the topological classification of such singularities is given.

    • 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 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 ...

    • 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 ...

    • Preface 

      Krasinski, Tadeusz; Spodzieja, Stanisław (Wydawnictwo Uniwersytetu Łódzkiego, 2019)

    • When the medial axis meets the singularities 

      Denkowski, Maciej Piotr (Wydawnictwo Uniwersytetu Łódzkiego, 2019)
      In this survey we present recent results in the study of the medial axes of sets definable in polynomially bounded o-minimal structures. We take the novel point of view of singularity theory. Indeed, it has been observed ...

    • A note on the Łojasiewicz exponent of non-degenerate isolated hypersurface singularities 

      Brzostowski, Szymon (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 ...

    • Negative curves on special rational surfaces 

      Dumnicki, Marcin; Farnik, Łucja; Hanumanthu, Krishna; Malara, Grzegorz; Szemberg, Tomasz; Szpond, Justyna; Tutaj-Gasinska, Halszka (Wydawnictwo Uniwersytetu Łódzkiego, 2019)
      We study negative curves on surfaces obtained by blowing up special configurations of points in P2. Our main results concern the following configurations: very general points on a cubic, 3–torsion points on an elliptic ...

    • Andrzej Nowicki – Scientific biography 

      Krasiński, Tomasz; Spodzieja, Stanisław (Wydawnictwo Uniwersytetu Łódzkiego, 2019)