Analytic and Algebraic Geometry 2

Preface 7

DEDICATIONS 9
Arkadiusz Płoski, Photo of Arkadiusz Płoski 11
Arkadiusz Płoski – Scientific biography 13
Kamil Rusek, Photo of Kamil Rusek 15
Kamil Rusek – Scientific biography 17
Krzysztof Kurdyka, Photo of Krzysztof Kurdyka 19
Krzysztof Kurdyka – Scientific biography 21
Shreeram Shankar Abhyankar, Photo of Shreeram Shankar Abhyankar 23
Note about Shreeram Shankar Abhyankar (1930–2012) 25
Poem: Shreeram S. Abhyankar, Polynomials and power series 27
Poem: Shreeram S. Abhyankar, Wielomiany i szeregi potęgowe (translation into Polish by Michał Szurek) 29
Poem: Shreeram S. Abhyankar, Wielomiany i szeregi potęgowe (translation into Polish by Tadeusz Krasiński) 33

SCIENTIFIC ARTICLES 35
Szymon Brzostowski, Tadeusz Krasiński, and Justyna Walewska, A short proof that equisingular plane curve singularities are topologically equivalent 37
Szymon Brzostowski and Tomasz Rodak, The Łojasiewicz exponent via the valuative Hamburger-Noether process 51
Stanisław Janeczko, Zbigniew Jelonek, and Maria Aparecida Soares Ruas, On a generic symmetry defect hypersurface 67
Zbigniew Jelonek, Wojciech Kucharz, and Krzysztof Kurdyka, Vector bundles and blowups 75
Piotr Jędrzejewicz, Łukasz Matysiak, and Janusz Zieliński, A note on square-free factorizations 79
Wojciech Kucharz and Krzysztof Kurdyka, Rationality of semialgebraic functions 85
Jean Moulin Ollagnier and Andrzej Nowicki, Rational constants of cyclotomic derivations 97
Andrzej Nowicki, Divergence-free polynomial derivations 123
Beata Osińska-Ulrych and Grzegorz Skalski, The Cauchy-Kowalevski Theorem 145
Arkadiusz Płoski, Formal and convergent solutions of analytic equations 161
Arkadiusz Płoski and Maciej Sękalski, Bézout’s inequality for real polynomials 175
Stanisław Spodzieja and Anna Szlachcińska, Łojasiewicz exponent of overdetermined semialgebraic mappings 179