Eliminating dual spaces

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• 作者：Robert Krone¹ ; ^{krone@math.gatech.edu" class="auth_mail" title="E-mail the corresponding author} ; Anton Leykin¹ ; ^{leykin@math.gatech.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Dual space ; Symbolic-numerical methods ; Embedded components
• 刊名：Journal of Symbolic Computation
• 出版年：2017
• 出版时间：March-April 2017
• 年：2017
• 卷：79
• 期：part_P3
• 页码：609-622
• 全文大小：372 K

文摘

Macaulay dual spaces provide a local description of an affine scheme and give rise to computational machinery that is compatible with the methods of numerical algebraic geometry. We introduce eliminating dual spaces, use them for computing dual spaces of quotient ideals, and develop an algorithm for detection of embedded points on an algebraic curve.