SINGULAR WELSCHINGER INVARIANTS

被引:2
|
作者
Shustin, Eugenii [1 ]
机构
[1] Tel Aviv Univ, Sch Math Sci, IL-69978 Tel Aviv, Israel
来源
JOURNAL OF SINGULARITIES | 2020年 / 20卷
关键词
REAL SYMPLECTIC 4-MANIFOLDS; LOWER BOUNDS; DEFORMATIONS; CURVES;
D O I
10.5427/jsing.2020.20d
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We suggest an invariant way to enumerate nodal and nodal-cuspidal real deformations of real plane curve singularities. The key idea is to assign Welschinger signs to the counted deformations. Our invariants can be viewed as a local version of Welschinger invariants enumerating real plane rational curves.
引用
收藏
页码:79 / 94
页数:16
相关论文
共 50 条
  • [41] Delta Invariants of Singular del Pezzo Surfaces
    Ivan Cheltsov
    Jihun Park
    Constantin Shramov
    The Journal of Geometric Analysis, 2021, 31 : 2354 - 2382
  • [42] Local polar invariants for plane singular foliations
    Cano, Felipe
    Corral, Nuria
    Mol, Rogerio
    EXPOSITIONES MATHEMATICAE, 2019, 37 (02) : 145 - 164
  • [43] ON MILNOR CLASSES VIA INVARIANTS OF SINGULAR SUBSCHEMES
    Fullwood, James
    JOURNAL OF SINGULARITIES, 2014, 8 : 1 - 10
  • [44] Zeta functions and 'Kontsevich invariants' on singular varieties
    Veys, W
    CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2001, 53 (04): : 834 - 865
  • [45] SELF BOUNDED CONTROLLED INVARIANTS FOR SINGULAR SYSTEMS
    CORRADINI, ML
    KYBERNETIKA, 1994, 30 (06) : 639 - 644
  • [46] Residues and topological invariants of singular holomorphic foliations
    Seade, J
    Suwa, T
    INTERNATIONAL JOURNAL OF MATHEMATICS, 1997, 8 (06) : 825 - 847
  • [47] Computing α-Invariants of Singular del Pezzo Surfaces
    Cheltsov, Ivan
    Kosta, Dimitra
    JOURNAL OF GEOMETRIC ANALYSIS, 2014, 24 (02) : 798 - 842
  • [48] Delta Invariants of Singular del Pezzo Surfaces
    Cheltsov, Ivan
    Park, Jihun
    Shramov, Constantin
    JOURNAL OF GEOMETRIC ANALYSIS, 2021, 31 (03) : 2354 - 2382
  • [49] Computing α-Invariants of Singular del Pezzo Surfaces
    Ivan Cheltsov
    Dimitra Kosta
    The Journal of Geometric Analysis, 2014, 24 : 798 - 842
  • [50] Integration of singular braid invariants and graph cohomology
    Hutchings, M
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1998, 350 (05) : 1791 - 1809