$\bar M_{0,n}$上的刚性曲线和算术中断
Rigid curves on $\bar M_{0,n}$ and arithmetic breaks
摘要：
Keel和McKernan的一个结果指出，F猜想的一个假设反例必须来自于$\bar {M}_{0,n}$上与内部相交的刚性曲线。我们展示了几种构造刚性曲线的方法。在我们所有的例子中，一个reduction mod p参数表明，我们构造的刚性曲线的类可以分解为F-曲线的和。
英文摘要：
A result of Keel and McKernan states that a hypothetical counterexample to the F-conjecture must come from rigid curves on $\bar {M}_{0,n}$ that intersect the interior. We exhibit several ways of constructing rigid curves. In all our examples, a reduction mod p argument shows that the classes of the rigid curves that we construct can be decomposed as sums of F-curves.
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