论文标题
k3表面上球形矢量束的共同体学
The cohomology of spherical vector bundles on K3 surfaces
论文作者
论文摘要
我们找到了一种算法来计算复杂的射击K3表面上的球形矢量束的共同体学组。在许多好的情况下，我们对算法进行了重大简化。作为一个应用程序，当PICARD等级是一个时，我们显示出一个数值条件，相当于球形向量束的弱brill-noether。
We find an algorithm to compute the cohomology groups of spherical vector bundles on complex projective K3 surfaces, in terms of their Mukai vectors. In many good cases, we give significant simplifications of the algorithm. As an application, when the Picard rank is one, we show a numerical condition that is equivalent to weak Brill-Noether for a spherical vector bundle.
