对a倍8次实曲线拓扑结构的新限制

Mathematics of The Ussr-izvestiya Pub Date : 1991-04-30 DOI:10.1070/IM1991V037N02ABEH002070

E. Shustin

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引用次数: 7

摘要

给出了两种几何结构，使人们能够排除幂为8倍的实平面曲线的某些椭圆排列。特别地，对于8度，一个m曲线不可能有一个椭圆包住其他的椭圆。

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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NEW RESTRICTIONS ON THE TOPOLOGY OF REAL CURVES OF DEGREE A MULTIPLE OF 8

Two geometrical constructions are given which enable one to rule out certain arrangements of ovals of real plane curves of degree a multiple of 8. In particular, for degree 8 one cannot have an M-curve for which one oval envelopes the other ovals.

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Mathematics of The Ussr-izvestiya

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