Enumeration of real conics and maximal configurations

被引：1

作者：

Brugalle, Erwan ^{[1
]}

Puignau, Nicolas ^{[2
]}

机构：

[1] Univ Paris 06, F-75013 Paris, France

[2] Univ Fed Rio de Janeiro, Ilha Fundao, BR-21941909 Rio De Janeiro, Brazil

来源：

JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY | 2013年 / 15卷 / 06期

关键词：

Tropical geometry; floor decomposition; real enumerative geometry; Gromov-Witten invariants; CURVES; GEOMETRY; VARIETIES;

D O I：

10.4171/JEMS/418

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use floor decompositions of tropical curves to prove that any enumerative problem concerning conics passing through projective-linear subspaces in RPn is maximal. That is, there exist generic configurations of real linear spaces such that all complex conics passing through these constraints are actually real.

引用

页码：2139 / 2164

页数：26

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