Analytic and algebraic geometry 2: [proc. of the annual conf., this vol. is dedicated to tree mathematicians celebrating in 2017 the jubilees of 70th and 60th birth annversaries: A.Ploski, K.Rusek a. K.Kurdyka] / ed. by T.Krasiński, S.Spodzieja. - Łódź: Wydawnictwo Uniwersytetu Łódzkiego, 2017. - 188 p.: ill. - Bibliogr. at the end of the art. - ISBN 978-83-7969-017-6 Шифр: (И/В18-A53) 02  Место хранения:   02 | Отделение ГПНТБ СО РАН | Новосибирск

Оглавление / Contents

Preface ......................................................... 7 DEDICATIONS ..................................................... 9 1 Arkadiusz Płoski Photo of Arkadiusz Płoski ................................... 11 Arkadiusz Płoski - Scientific biography ..................... 13 2 Kamil Rusek Photo of Kamil Rusek ........................................ 15 Kamil Rusek - Scientific biography .......................... 17 3 Krzysztof Kurdyka Photo of Krzysztof Kurdyka .................................. 19 Krzysztof Kurdyka - Scientific biography .................... 21 4 |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 potggowe (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 5 Szymon Brzostowski, Tadeusz Krasiński, and Justyna Walewska A short proof that equisingular plane curve singularities are topologically equivalent ................................ 37 6 Szymon Brzostowski and Tomasz Rodak The Łojasiewicz exponent via the valuative Hamburger- Noether process ............................................. 51 7 Stanislaw Janeczko, Zbigniew Jelonek, and Maria Aparecida Soares Ruas On a generic symmetry defect hypersurface ................... 67 8 Zbigniew Jelonek, Wojciech Kucharz, and Krzysztof Kurdyka Vector bundles and blowups .................................. 75 9 Piotr Jędrzejewicz, Łukasz Matysiak, and Janusz Zieliński A note on square-free factorizations ........................ 79 10 Wojciech Kucharz and Krzysztof Kurdyka Rationality of semialgcbraic functions ...................... 85 11 Jean Moulin Ollagnier and Andrzej Nowicki Rational constants of cyclotomic derivations ................ 97 12 Andrzej Nowicki Divergence-free polynomial derivations ..................... 123 13 Beata Osińska-Ulrych and Grzegorz Skalski The Cauchy-Kowalevski Theorem .............................. 145 14 Arkadiusz Płoski Formal and convergent solutions of analytic equations ...... 161 15 Arkadiusz Płoski and Maciej Seękalski Bézout's inequality for real polynomials ................... 175 16 Stanisiaw Spodzieja and Anna Szlachcińska Łojasiewicz exponent of overdetermined semialgebraic mappings ................................................... 179