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.

引用

页码：125 / 144

页数：20

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[1] Patchworking singular algebraic curves I
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[J]. Israel Journal of Mathematics, 2006, 151 : 125 - 144
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