Higher genus Welschinger invariants under real surgeries

Yanqiao Ding

Higher genus Welschinger invariants under real surgeries

Symplectic Geometry 2018-01-17 v2 Algebraic Geometry

Authors: Yanqiao Ding

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.

Cite

@article{arxiv.1710.03603,
  title  = {Higher genus Welschinger invariants under real surgeries},
  author = {Yanqiao Ding},
  journal= {arXiv preprint arXiv:1710.03603},
  year   = {2018}
}

Comments

16 pages. The main theorem is restricted to the real del Pezzo surfaces, and the formula is also considered in the symplectic case in the Appendix

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