Studying The Real Branches Of Algebraic Curves In The Approximate Singular Points Using Puiseux Expansion
published by Aِl-Baath University
in 2018
in Mathematics
and research's language is
العربية
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Abstract in English
In this paper, we will study how we find the number of the reals
branches of algebraic curve which pass by the approximate singular
points using the expansion of Puiseux , the approximating
calculations , the Newton's polygon , Gap theory and Test Criterion
in the formal series field . Then we will find a good Algorithm .
References used
BAJAJ,C. and Xu ,G., (1997)," Piecewise Rational Approximation of Real Algebraic Curves
COX, D. A. and LITTLE, J. and SHEA, O.D., (2004) "Using Algebraic Geometry", III. Title. IV. Graduate QA564.C6883
CUTKOSKY,S. D .,"Resolution Of Singularities". University of Missouri ,COLUMBIA, Missouri 65211