Singular Welschinger invariants

2019/06/30 by Shustin, Eugenii
#14H20 #14N10 #14P05 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1907.00461

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.

Related

• Enumeration of non-nodal real plane rational curves
• On Welschinger invariants of descendant type
• Welschinger invariant and enumeration of real plane rational curves
• Appendix to "Welschinger invariant and enumeration of real rational curves"
• Deformations of singularities of plane curves. Topological approach