Computation of low dimensional Puiseux expansion of algebraic curves

碩士 === 淡江大學 === 數學學系碩士班 === 99 === If we have an equation that is f(x,y) = a0(x)+a1(x)*y+a2(x)*y2+...+an(x)*yn = 0, ai(x)∈C(x)∗, we want to find solutions which are of the form x^{r1}(c1 + x^{r2}(c2 + x^{r3}(c3 + ...))), r2,r3,r4,...> 0, and we will discuss the bifurcation of y(x) and when the lo...

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Main Authors:	Shi-Shung Lin, 林士翔
Other Authors:	Meng-Nien Wu
Format:	Others
Language:	zh-TW
Published:	2011
Online Access:	http://ndltd.ncl.edu.tw/handle/53456178791939629752

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spelling	ndltd-TW-099TKU054790182015-10-26T04:04:24Z http://ndltd.ncl.edu.tw/handle/53456178791939629752 Computation of low dimensional Puiseux expansion of algebraic curves 低維度代數曲線之 Puiseux 展開式之計算 Shi-Shung Lin 林士翔碩士淡江大學數學學系碩士班 99 If we have an equation that is f(x,y) = a0(x)+a1(x)y+a2(x)y2+...+an(x)*yn = 0, ai(x)∈C(x)∗, we want to find solutions which are of the form x^{r1}(c1 + x^{r2}(c2 + x^{r3}(c3 + ...))), r2,r3,r4,...> 0, and we will discuss the bifurcation of y(x) and when the lowest common denominator of {r1,r2,r3,...} appears. Finally, we compute the range of convergence of y(x) expansion. Meng-Nien Wu 吳孟年 2011 學位論文 ; thesis 17 zh-TW
collection	NDLTD
language	zh-TW
format	Others
sources	NDLTD
description	碩士 === 淡江大學 === 數學學系碩士班 === 99 === If we have an equation that is f(x,y) = a0(x)+a1(x)y+a2(x)y2+...+an(x)*yn = 0, ai(x)∈C(x)∗, we want to find solutions which are of the form x^{r1}(c1 + x^{r2}(c2 + x^{r3}(c3 + ...))), r2,r3,r4,...> 0, and we will discuss the bifurcation of y(x) and when the lowest common denominator of {r1,r2,r3,...} appears. Finally, we compute the range of convergence of y(x) expansion.
author2	Meng-Nien Wu
author_facet	Meng-Nien Wu Shi-Shung Lin 林士翔
author	Shi-Shung Lin 林士翔
spellingShingle	Shi-Shung Lin 林士翔 Computation of low dimensional Puiseux expansion of algebraic curves
author_sort	Shi-Shung Lin
title	Computation of low dimensional Puiseux expansion of algebraic curves
title_short	Computation of low dimensional Puiseux expansion of algebraic curves
title_full	Computation of low dimensional Puiseux expansion of algebraic curves
title_fullStr	Computation of low dimensional Puiseux expansion of algebraic curves
title_full_unstemmed	Computation of low dimensional Puiseux expansion of algebraic curves
title_sort	computation of low dimensional puiseux expansion of algebraic curves
publishDate	2011
url	http://ndltd.ncl.edu.tw/handle/53456178791939629752
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Computation of low dimensional Puiseux expansion of algebraic curves

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