Toric degenerations of toric varieties and tropical curves

被引：141

作者：

Nishinou, Takeo ^{[1
]}

Siebert, Bernd

机构：

[1] Kyoto Univ, Fac Sci, Dept Math, Kyoto 6068224, Japan

[2] Univ Freiburg, Math Inst, D-79104 Freiburg, Germany

来源：

DUKE MATHEMATICAL JOURNAL | 2006年 / 135卷 / 01期

关键词：

D O I：

10.1215/S0012-7094-06-13511-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the counting of rational curves on a complete toric variety which are in general position relative to the toric prime divisors coincides with the counting of certain tropical curves. The proof is algebraic-geometric and relies on degeneration techniques and log deformation theory.

引用

页码：1 / 51

页数：51

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