"Analytic and algebraic geometry 1"

Spis treści

Preface 8

Photography of Stanisław Łojasiewicz 10

Facsimile of one page by Stanisław Łojasiewicz 12

1. Stanisław Łojasiewicz, Geometric desingularization of curves in manifolds 14

2. Szymon Brzostowski, Necessary conditions for irreducibility of algebroid plane curves 36

3. Evelia Rosa Garcia Barroso and Arkadiusz Płoski, Euclidean algorithm and polynomial equations after Labatie 44

4. Zbigniew Jelonek, On smooth hypersurfaces containing a given subvariety 54

5. Piotr Jędrzejewicz, Rings of constants of polynomial derivations and p-bases 60

6. Grzegorz Oleksik, On combinatorial criteria for isolated singularities 84

7. Beata Osińska-Ulrych, Grzegorz Skalski, Stanisław Spodzieja, On C⁰-sufficiency of jets 98

8. Arkadiusz Płoski, Introduction to the local theory of plane algebraic curves 118

9. Jean-Marie Strelcyn, On Chouikha’s isochronicity criterion 138

10. Justyna Walewska, The jump of Milnor numbers in families of non-degenerate and non-convenient singularities 144

11. Michał Zakrzewski, Henryk Żołądek, Multiple zeta values and the WKB method 158