TOPOLOGY OF REAL PLANE ALGEBRAIC-CURVES

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作者
SHUSTIN, EI
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O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this article we'll consider some ideas, methods, results found over the last ten years in topology of real plane algebraic curves. We'll also speak of some unsolved problems. Topology of real curves is expounded in many known surveys [1, 4, 9, 18, 26, 28, 29]. We'll consider matter not included in them. The text consists of 4 parts: in the first part we speak of methods of getting restrictions, in the second part we speak of real curves constructions, in the third part we speak of connection between algebraic curves and singularities smoothings, in the fourth part we formulate some conjectures. Used below (without refering) classical results in real curves topology are described in [1, 4, 9, 18, 26, 28, 29] quite completely.
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页码:97 / 109
页数:13
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