论文标题
Beauville-Mukai Systems I：排名第三和属属的生物几何形状
Birational geometry of Beauville-Mukai systems I: the rank three and genus two case
论文作者
论文摘要
我们研究了Beauville-Mukai系统在一般属的两个K3表面上的墙壁交叉。我们表明，这样的系统与一系列拖曳序列相关的是表面上十点的希尔伯特方案，其特殊的基因座可以被描述为Brill-Noether基因座。我们还为Beauville-Mukai系统中的滑轮获得了Brill-Noether类型的结果。
We study wall-crossing for the Beauville-Mukai system of rank three on a general genus two K3 surface. We show that such a system is related to the Hilbert scheme of ten points on the surface by a sequence of flops, whose exceptional loci can be described as Brill-Noether loci. We also obtain Brill-Noether type results for sheaves in the Beauville-Mukai system.
