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Analytic and Algebraic Geometry 3 - Tadeusz Krasiński, Stanisław Spodzieja - ebook – Ibuk.pl

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Preface 5

DEDICATIONS 9

1. Jacek Chądzyński, Photo of Jacek Chądzyński 11 Jacek Chądzyński – Scientific biography 13

2. Tadeusz Krasiński, Photo of Tadeusz Krasiński 17 Tadeusz Krasiński – Scientific biography 19

3. Andrzej Nowicki, Photo of Andrzej Nowicki 21 Andrzej Nowicki – Scientific biography 23

SCIENTIFIC ARTICLES 25

4. Szymon Brzostowski, A note on the Łojasiewicz exponent of non- degenerate isolated hypersurface singularities 27

5. Maciej Piotr Denkowski, When the medial axis meets the singularities 41

6. Marcin Dumnicki, Łucja Farnik, Krishna Hanumanthu, Grzegorz Malara, Tomasz Szemberg, Justyna Szpond, and Halszka Tutaj-Gasińska,

Negative curves on special rational surfaces 67

7. Aleksandra Gala-Jaskórzyńska, Krzysztof Kurdyka, Katarzyna Rudnicka, and Stanisław Spodzieja, Gelfond-Mahler inequality for multipolynomial resultants 79

8. Evelia Rosa Garc´ıa Barroso, and Arkadiusz Płoski, Contact exponent and the Milnor number of plane curve singularities 93

9. Marek Janasz, and Grzegorz Malara, A non-containment example on lines and a smooth curve of genus 10 111

10. Piotr Jędrzejewicz, A note on divergence-free polynomial derivations in positive characteristic 119

11.Tadeusz Krasiński, Knots of irreducible curve singularities 125

12.Magdalena Lampa-Baczyńska, and Daniel Wójcik, On the dual Hesse arrangement 169

13.Andrzej Nowicki, Finitely generated subrings of R[x] 179

14.Piotr Pokora, Extremal properties of line arrangements in the complex projective plane 191

15.Justyna Szpond, A few introductory remarks on line arrangements 201

16.Janusz Zieliński, Rings and fields of constants of cyclic factorizable derivations 213

17.Maciej Zięba, A family of hyperbolas associated to a triangle 227

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