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According to [3], a real surgery of a real del Pezzo surface $X_\mathbb{R}$along a real sphere $S$ is a modification of the real structure on$X_\mathbb{R}$ in a neighborhood of $S$. In this paper, we study the behaviorof higher genus Welschinger invariants under real surgeries, and obtain a genusdecreasing formula of Welschinger invariants.

Higher genus Welschinger invariants under real surgeries