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arXiv · 2203.10503

On wall-crossing invariance of certain sums of Welschinger numbers

Sergey Finashin·Viatcheslav Kharlamov
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Abstract

We continue our quest for real enumerative invariants not sensitive to changing the real structure and extend the construction we uncovered previously for counting curves of anti-canonical degree $\leqslant 2$ on del Pezzo surfaces with $K^2=1$ to curves of any anti-canonical degree and on any del Pezzo surfaces of degree $K^2\leqslant 3$.

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Sergey Finashin, Viatcheslav Kharlamov. 2022-03-20. On wall-crossing invariance of certain sums of Welschinger numbers. https://doi.org/10.1007/s00029-023-00838-x

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