From the sixteenth Hilbert problem to tropical geometry
From the sixteenth Hilbert problem to tropical geometry
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DOI：
10.1007/s11537-008-0832-6
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发表时间：
2008-12-01
影响因子：
1.5
通讯作者：
Viro, Oleg
中科院分区：
文献类型：
--
作者：
Viro, Oleg
希尔伯特关于代数曲线和曲面的拓扑问题（1900年第二届国际数学家大会上提出的著名问题列表中的第十六个问题）很难表述。它的表述方式让人很难预料它已经得到了解决。本文第一部分介绍了第十六阶希尔伯特问题的发展历史及其求解方法。论文的第二部分追溯了热带几何学产生的途径之一。
Hilbert's problem on the topology of algebraic curves and surfaces (the sixteenth problem from the famous list presented at the second International Congress of Mathematicians in 1900) was difficult to formulate. The way it was formulated made it difficult to anticipate that it has been solved. In the first part of the paper the history of the sixteenth Hilbert problem and its solution is presented. The second part of the paper traces one of the ways in which tropical geometry emerged.