论文标题
在$ \ mathbb {p}（a，b，c）$ for $ \ min（a，b，c）\ leq4 $上的曲线上
On curves with high multiplicity on $\mathbb{P}(a,b,c)$ for $\min(a,b,c)\leq4$
论文作者
论文摘要
在加权的投影表面$ \ mathbb {p}（a，b，c）$带有$ \ min（a，b，c）\ leq 4 $，我们计算了富裕分裂的{\ em em有效阈值}的下限，换句话说，换句话说，分隔的一部分可以在指定的点上具有最高的多重性。我们希望这些界限接近敏锐。这转化为在$ \ mathbb {p}（a，b，c）$的爆炸中找到除数类，该$ \ m m mathbb {a，b，c）$生成了锥体中包含的锥体，并且可能接近有效的锥体。
On a weighted projective surface $\mathbb{P}(a,b,c)$ with $\min(a,b,c)\leq 4$, we compute lower bounds for the {\em effective threshold} of an ample divisor, in other words, the highest multiplicity a section of the divisor can have at a specified point. We expect that these bounds are close to being sharp. This translates into finding divisor classes on the blowup of $\mathbb{P}(a,b,c)$ that generate a cone contained in, and probably close to, the effective cone.
