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arXiv · 1710.03603

Higher genus Welschinger invariants under real surgeries

Yanqiao Ding
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Abstract

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 behavior of higher genus Welschinger invariants under real surgeries, and obtain a genus decreasing formula of Welschinger invariants.

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Yanqiao Ding. 2018-01-14. Higher genus Welschinger invariants under real surgeries. https://arxiv.org/abs/1710.03603

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