New restrictions on the topology of real curves of degree a multiple of 8

E. I. Shustin

doi:10.1070/IM1991v037n02ABEH002070

New restrictions on the topology of real curves of degree a multiple of 8

E. I. Shustin

School of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	421-443
Number of pages	23
Journal	Mathematics of the USSR - Izvestija
Volume	37
Issue number	2
DOIs	https://doi.org/10.1070/IM1991v037n02ABEH002070
State	Published - 30 Apr 1991

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New restrictions on the topology of real curves of degree a multiple of 8

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