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

· 2003 · math.AG · arXiv math/0312142

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abstract

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 · 2025-06-03 · conditional · novelty 7.0

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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  • BPS polynomials and Welschinger invariants math.AG · 2025-06-03 · conditional · none · ref 46 · internal anchor

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