POLECAMY
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ibuk
Annual Conferences in Analytic and Algebraic Geometry have been organized by Facul-ty of Mathematics and Computer Science of the University of Łódź since 1980. Until now, proceedings of these conferences (mainly in Polish) have comprised educational materials describing current state of a branch of mathematics, new approaches to known topics, and new proofs of known results (http://konfrogi.math.uni.lodz.pl/).
The volume include new results and survey articles concerning real and complex alge-braic geometry, singularities of curves and hypersurfaces, invariants of singularities (the Milnor number, degree of C0-sufficiency), algebraic theory of derivations and oth-ers topics.
English translation of the Polish version of an article by Stanisław Łojasiewicz (1926-2002) devoted to the famous Hironaka theorem on resolution of singularities. It con-tains his original approach to the problem in the case of curves and coherent analytic sheaves on 2-dimensional manifolds. This interesting article has not yet been available in English.
The volume is dedicated to the memory of Stanisław Łojasiewicz. We are deeply in-debted to him for introducing the topics of analytic and algebraic geometry in the Łódź mathematical centre.
Rok wydania | 2013 |
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Liczba stron | 202 |
Kategoria | Publikacje darmowe |
Wydawca | Wydawnictwo Uniwersytetu Łódzkiego |
ISBN-13 | 978-83-7969-017-6 |
Język publikacji | polski |
Informacja o sprzedawcy | ePWN sp. z o.o. |
POLECAMY
Ciekawe propozycje
Spis treści
Preface | 5 |
Photography of Stanisław Łojasiewicz | 7 |
Facsimile of one page by Stanisław Łojasiewicz | 9 |
1. Stanisław Łojasiewicz, Geometric desingularization of curves in manifolds | 11 |
2. Szymon Brzostowski, Necessary conditions for irreducibility of algebroid plane curves | 33 |
3. Evelia Rosa Garcia Barroso and Arkadiusz Płoski, Euclidean algorithm and polynomial equations after Labatie | 41 |
4. Zbigniew Jelonek, On smooth hypersurfaces containing a given subvariety | 51 |
5. Piotr Jędrzejewicz, Rings of constants of polynomial derivations and p-bases | 57 |
6. Grzegorz Oleksik, On combinatorial criteria for isolated singularities | 81 |
7. Beata Osińska-Ulrych, Grzegorz Skalski, Stanisław Spodzieja, On C0-sufficiency of jets | 95 |
8. Arkadiusz Płoski, Introduction to the local theory of plane algebraic curves | 115 |
9. Jean-Marie Strelcyn, On Chouikha’s isochronicity criterion | 135 |
10. Justyna Walewska, The jump of Milnor numbers in families of non-degenerate and non-convenient singularities | 141 |
11. Michał Zakrzewski, Henryk Żołądek, Multiple zeta values and the WKB method | 155 |