论文标题
在Cayley Grassmannian的派生类别上
On the Derived Category of the Cayley Grassmannian
论文作者
论文摘要
我们在所谓的Cayley Grassmannian上构建了一个由矢量捆绑包组成的完整集合，该系列是衍生的类别类别，是Grassmannian $ \ Mathrm {gr}（3，7）$参数化的3-Subspace的grassmannian $ \ mathrm {gr}的子变量，由一般为4型4级。充实证明的主要步骤是构造了两个自动偶数矢量束，这些束从两个操作中获得，这些操作本身可能很有趣。
We construct a full exceptional collection consisting of vector bundles in the derived category of coherent sheaves on the so-called Cayley Grassmannian, the subvariety of the Grassmannian $\mathrm{Gr}(3, 7)$ parameterizing 3-subspaces that are annihilated by a general 4-form. The main step in the proof of fullness is a construction of two self-dual vector bundles which is obtained from two operations with quadric bundles that might be interesting in themselves.
