Appendix to "Welschinger invariant and enumeration of real rational curves"

Eugenii Shustin; Ilia Itenberg; Viatcheslav Kharlamov

Appendix to "Welschinger invariant and enumeration of real rational curves"

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arxiv math/0312142 v2 pith:GXMGGDWA submitted 2003-12-07 math.AG

Ilia Itenberg , Viatcheslav Kharlamov , Eugenii Shustin This is my paper · ORCID

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keywords realwelschingercurvesenumerationinvariancemathpezzorational

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The invariance of the Welschinger numbers for real unnodal Del Pezzo surfaces, which we used for the enumeration of real rational curves on real toric Del Pezzo surfaces (see math.AG/0303378 and IMRN 49 (2003), 2639-2653), follows from J.-Y. Welschinger's theorem stated and proved in a symplectic setting (math.AG/0303145 and CRAS, Ser. I, 336 (2003), 341-344). Here, we give an algebraic geometry version of the proof of the above invariance.

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BPS polynomials and Welschinger invariants
math.AG 2025-06 conditional novelty 7.0 of 10

The new BPS polynomials of surfaces specialize at q=-1 to Welschinger invariants for blowups of the projective plane at up to six points.

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