论文标题
渐近亚历山大·希尔斯乔维茨（Alexander-Hirschowitz）的表面定理
An asymptotic Alexander-Hirschowitz theorem for surfaces
论文作者
论文摘要
令x为c上的光滑射射表面，让我在X上成为足够的线束。在本说明中，我们表明，对于所有足够大的d，x上的任何数量的一般double点都施加了线性系统上的预期条件| l^d |。同等地，X单数在任何数量的一般点上的D平面部分具有预期维度。我们猜想，对于任意维度的X也相同。
Let X be a smooth projective surface over C and let L be an ample line bundle on X. In this note, we show that, for all sufficiently large d, any number of general double points on X imposes the expected number of conditions on the linear system |L^d|. Equivalently, the space of d-plane sections of X singular at any number of general points has the expected dimension. We conjecture that the same holds for X of arbitrary dimension.
