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Analitic and Algebraic Geometry 4

Analitic and Algebraic Geometry 4

Tadeusz Krasiński, Stanisław Spodzieja

E-book

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 closely associated with our conferences Analytic and Algebraic Geometry. The first one is an active participant of the conferences since 2009 and the second one is a leading figure of the conferences almost from the beginning (1983). Thanks to their mathematical vigor and stimulation the conferences become more interesting and fruitful.

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

  • Titel: Analitic and Algebraic Geometry 4
  • Autor: Tadeusz Krasiński, Stanisław Spodzieja
  • ISBN: 978-83-8331-093-0, 9788383310930
  • Veröffentlichungsdatum: 2022-12-28
  • Format: E-book
  • Artikelkennung: e_30xd
  • Verleger: Wydawnictwo Uniwersytetu Łódzkiego