Geodesic
Singular Welschinger invariants
Journal of Singularities, Tome 20 (2020), pp. 79-94

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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. 
@article{10_5427_jsing_2020_20d,
     author = {Eugenii Shustin},
     title = {Singular {Welschinger} invariants},
     journal = {Journal of Singularities},
     pages = {79--94},
     publisher = {mathdoc},
     volume = {20},
     year = {2020},
     doi = {10.5427/jsing.2020.20d},
     url = {http://geodesic.mathdoc.fr/articles/10.5427/jsing.2020.20d/}
}
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Eugenii Shustin. Singular Welschinger invariants. Journal of Singularities, Tome 20 (2020), pp. 79-94. doi: 10.5427/jsing.2020.20d

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