Reflections on elimination theory

Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation Pub Date : 2020-07-20 DOI:10.1145/3373207.3403977

David A. Cox

引用次数: 0

Abstract

My lecture will survey developments in elimination theory from Newton and Bézout up to modern times. I will discuss the dominance of elimination theory in the 19th century and the challenges it faced in the 20th century with the rise of abstract algebraic geometry. I will also mention the role of the ISSAC community and some personal history.

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关于消除理论的思考

我的讲座将概述消去理论从牛顿和巴泽兹一直到现代的发展。我将讨论消去理论在19世纪的主导地位，以及它在20世纪随着抽象代数几何的兴起而面临的挑战。我还将提到ISSAC社区的作用和一些个人经历。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation

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