Singular Welschinger invariants

Eugenii Shustin

Journal of Singularities
volume 20 (2020), 79-94

Received: 1 July 2019. Received in revised form: 11 December 20219.

DOI: 10.5427/jsing.2020.20d

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Abstract:

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.


Author(s) information:

Eugenii Shustin
School of Mathematical Sciences
Tel Aviv University
Ramat Aviv, 69978 Tel Aviv, Israel
email: shustin@tauex.tau.ac.il