论文标题
Fano三倍的Fano家族的派生类别
Derived categories of families of Fano threefolds
论文作者
论文摘要
我们构建了光滑的Fano三倍纤维$ x/s $的衍生类别的$ S $ - 线性半三相分解，相对PICARD等级$ 1 $和合理的几何纤维，并讨论这些分解组件的结构与$ x/s $ $ x/s $的合理性属性有关。
We construct $S$-linear semiorthogonal decompositions of derived categories of smooth Fano threefold fibrations $X/S$ with relative Picard rank $1$ and rational geometric fibers and discuss how the structure of components of these decompositions is related to rationality properties of $X/S$.
