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

页码：438 / 500

页数：63

共 34 条

[31] A Caporaso-Harris type formula for Welschinger invariants of real toric Del Pezzo surfaces
Itenberg, Ilia
Kharlamov, Viatcheslav
Shustin, Eugenii
COMMENTARII MATHEMATICI HELVETICI, 2009, 84 (01) : 87 - 126
[32] Welschinger invariants of real Del Pezzo surfaces of degree ≥ 2 (Vol 26, 1792001, 2015)
Itenberg, Ilia
Kharlamov, Viatcheslav
Shustin, Eugenii
INTERNATIONAL JOURNAL OF MATHEMATICS, 2017, 28 (07)
[33] Duality for relative Prymians associated to K3 double covers of del Pezzo surfaces of degree 2
Menet, Grgoire
MATHEMATISCHE ZEITSCHRIFT, 2014, 277 (3-4) : 893 - 907
[34] Duality for relative Prymians associated to K3 double covers of del Pezzo surfaces of degree 2
Grgoire Menet
Mathematische Zeitschrift, 2014, 277 : 893 - 907

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