Recursive Formulas for Welschinger Invariants of the Projective Plane

被引：23
|
作者：
Arroyo, Aubin [1 ]
Brugalle, Erwan [2 ]
Lopez de Medrano, Lucia [1 ]
机构：
[1] Univ Nacl Autonoma Mexico, Inst Matemat, Unidad Cuernavaca, Cuernavaca 62251, Morelos, Mexico
[2] Univ Paris 06, F-75013 Paris, France
来源：
INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2011年 / 2011卷 / 05期
关键词：
SYMPLECTIC; 4-MANIFOLDS; LOWER BOUNDS; CURVES;
D O I：
10.1093/imrn/rnq096
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Welschinger invariants of the real projective plane can be computed via the enumeration of enriched graphs, called marked floor diagrams. By a purely combinatorial study of these objects, we establish a Caporaso-Harris type formula which allows one to compute Welschinger invariants for configurations of points with any number of complex conjugated points.
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页码：1107 / 1134
页数：28
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