Patchworking singular algebraic curves I

被引：7
|
作者：
Shustin, Eugenii [1 ]
Tyomkin, Ilya [1 ,2 ]
机构：
[1] Tel Aviv Univ, Sch Math Sci, IL-69978 Tel Aviv, Israel
[2] Univ Paris 06, Inst Math Algebras Operateurs & Representat, F-75013 Paris, France
来源：
ISRAEL JOURNAL OF MATHEMATICS | 2006年 / 151卷 / 1期
关键词：
D O I：
10.1007/BF02777358
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we present a general patchworking procedure for the construction of reduced singular curves having prescribed singularities and belonging to a given linear system on algebraic surfaces. It originates in the Viro "gluing" method for the construction of real non-singular algebraic hypersurfaces. The general procedure includes almost all known particular modifications, and goes far beyond. Some applications and examples illustrate the construction.
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页码：125 / 144
页数：20
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