Singular Welschinger invariants

Eugenii Shustin*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)79-94
Number of pages16
JournalJournal of Singularities
StatePublished - 2020


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