论文标题
Mukai双重性通过投影捆的屋顶
Mukai duality via roofs of projective bundles
论文作者
论文摘要
我们调查了一对提供的施工，该构造提供了一对卡拉比野品种，如Kanemitsu所述，屋顶上的超平面截面的零位基因座。我们讨论了这种构建在Hodge等价，衍生等效性和$ \ Mathbb l $ - 等价性水平上的含义。对于$ k3 $的表面，我们为Mukai的$ k3 $ k3 $表面的Fourier-Mukai二元性提供了替代性解释。在所有这些结构中，派生的等效性提高到矩阵因素化类别的等效性。
We investigate a construction providing pairs of Calabi-Yau varieties described as zero loci of pushforwards of a hyperplane section on a roof as described by Kanemitsu. We discuss the implications of such construction at the level of Hodge equivalence, derived equivalence and $\mathbb L$-equivalence. For the case of $K3$ surfaces, we provide alternative interpretations for the Fourier-Mukai duality in the family of $K3$ surfaces of degree 12 of Mukai. In all these constructions the derived equivalence lifts to an equivalence of matrix factorizations categories.
