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 ...

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 ...

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 ...

In this paper, we study the parameter spaces for Böröoczky arrangements Bn of n lines, where n < 12. We prove that up to n = 12, there exist only one arrangement nonrealizable over the rational numbers, that is B11.

Podajemy nowy, elementarny dowód hipotezy o krotności Zariskiego w μ-constant rodzinach niezdegenerowanych osobliwości.

In this note we extend, to arbitrary characteristic, Lˆe’s formula (Calculation of Milnor number of isolated singularity of complete intersection. Funct. Anal. Appl. 8 (1974), 127–131).

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 ...

In this note we prove several results linking Lefschetz numbers with asymptotic behaviour of the orbit in flows. With the aid of the Lefschetz fixed point theorem and the presence of a non-trivial limit set we prove ...

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 ...