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

about Shreeram Shankar Abhyankar (1930–2012) 25

Poem: Shreeram S. Abhyankar, Polynomials and power series 27

Shreeram S. Abhyankar, Wielomiany i szeregi potęgowe (translation into Polish by Michał Szurek) 29

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

• Title: Analytic and Algebraic Geometry 2
• Author: Tadeusz Krasiński, Stanisław Spodzieja
• ISBN: 978-83-808-8923-1, 9788380889231
• Date of issue: 2017-12-19
• Format: Ebook
• Item ID: e_0pcu
• Publisher: Wydawnictwo Uniwersytetu Łódzkiego