关于具有圆锥丛的有理曲面的Welschinger数的墙交叉不变组合
On wall-crossing invariant combinations of Welschinger numbers for rational surfaces with a conic bundle
AI总结：
本文细化并推广了实枚举不变量到任意有理曲面，通过辅助圆锥丛与Pin结构构造，证明其独立性并建立递归计算关系。
AI中文摘要：
我们细化了在之前关于del Pezzo曲面的论文中引入的对实结构变化不敏感的实枚举不变量，并将这些细化不变量推广到任意有理曲面。构造涉及辅助圆锥丛与Pin结构的选择。我们证明了所得不变量独立于这些辅助选择，并建立了用于计算它们的递归关系。
英文摘要：
We refine the real enumerative invariants insensitive to changes in the real structure introduced in our previous paper on del Pezzo surfaces, and extend these refined invariants to arbitrary rational surfaces. The construction involves a choice of an auxiliary conic bundle together with a Pin-structure. We prove that the resulting invariants are independent of these auxiliary choices and establish recursive relations for their computation.
