Floor diagrams relative to a conic, and GW-W invariants of Del Pezzo surfaces

被引：19
|
作者：
Brugalle, Erwan [1 ,2 ]
机构：
[1] Ecole Polytech, Ctr Math Laurent Schwartz, F-91128 Palaiseau, France
[2] Univ Paris 06, F-75005 Paris, France
来源：
ADVANCES IN MATHEMATICS | 2015年 / 279卷
关键词：
Gromov-Witten invariants; Welschinger invariants; Degeneration formula; Del Pezzo surfaces; GROMOV-WITTEN INVARIANTS; WELSCHINGER INVARIANTS; SYMPLECTIC; 4-MANIFOLDS; LOWER BOUNDS; CURVES; FORMULA; ENUMERATION; GEOMETRY;
D O I：
10.1016/j.aim.2015.04.006
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We enumerate, via floor diagrams, complex and real curves in CP2 blown up in n points on a conic. As an application, we deduce Gromov-Witten and Welschinger invariants of Del Pezzo surfaces. These results are mainly obtained using Li's degeneration formula and its real counterpart. (C) 2015 Elsevier Inc. All rights reserved.
引用
收藏
页码：438 / 500
页数：63
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