Analytic and Algebraic Geometry 4

Preface 5

DEDICATIONS 9

1. Wojciech Kucharz
Photo of Wojciech Kucharz 11
Wojciech Kucharz – Scientific biography 13
2. Tadeusz Winiarski
Photo of Tadeusz Winiarski 15
Tadeusz Winiarski – Scientific biography 17

SCIENTIFIC ARTICLES 19

3. Abdulljabar Naji Abdullah, Klaudia Rosiak and Stanisław Spodzieja, Convexifying of polynomials by convex factor 21
4. Szymon Brzostowski, Tadeusz Krasiński, and Grzegorz Oleksik, Zariski multiplicity conjecture in families of non-degenerate singularities 53
5. Evelia Rosa García Barroso and Arkadiusz Płoski, On Lê’s formula in arbitrary characteristic 61
6. Karol Gryszka, Lefschetz numbers and asymptotic periods 67
7. Marek Janasz, On the nearly free simplicial line arrangements with up to 27 lines 75
8. Marek Janasz, Magdalena Lampa-Baczyńska, and Daniel Wójcik, Realizability of some Böröoczky arrangements over the rational numbers 83
9. Andrzej Lenarcik and Mateusz Masternak, Effective proof of Guseĭn-Zade theorem that branches may be deformed with jump one 95
10. Maria Michalska, Real Nullstellensatz and sums of squares 121
11. Grzegorz Oleksik and Adam Różycki, Some notes on the Lê numbers in the family of line singularities 137
12. Arkadiusz Płoski, Lectures on polynomial equations: Max Noether’s Fundamental Theorem, The Jacobi Formula and Bézout’s Theorem 147
13. Justyna Szpond, An invitation to the positivity and geometry of algebraic cycles 163
14. Aleksandra Zakrzewska, An estimation of the jump of the Milnor number of plane curve singularities 175