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Euclidean algorithm and polynomial equations after Labatie
(Wydawnictwo Uniwersytetu Łódzkiego, 2013)
We recall Labatie's effective method of solving polynomial equations
with two unknowns by using the Euclidean algorithm.
Introduction to the local theory of plane algebraic curves
(Wydawnictwo Uniwersytetu Łódzkiego, 2013)
We consider the algebroid plane curves de ned by formal power
series of two variables with coe cients in an algebraically closed eld. Using
quadratic transformations we prove the local normalization theorem. Then we
study ...