爆破曲面的Atiyah Jones猜想
Atiyah Jones conjecture for blown-up surfaces
摘要:
我们表明,如果Atiyah琼斯猜想成立的表面$X,$,那么它也成立的爆破的$X$在一个点。由于已知该猜想对${\mathbb P}^2$和直纹曲面都成立,因此该猜想对所有有理曲面都成立。
英文摘要:
We show that if the Atiyah Jones conjecture holds for a surface $X,$ then it also holds for the blow-up of $X$ at a point. Since the conjecture is known to hold for ${\mathbb P}^2$ and for ruled surfaces, it follows that the conjecture is true for all rational surfaces.
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