论文标题
将自动形态提升为阿伯利亚品种作为派生的自动等量
Lifting Automorphisms on Abelian Varieties as Derived Autoequivalences
论文作者
论文摘要
我们表明，在一个积极特征的代数封闭场上的阿贝利亚品种上，将自动形态提升为零特征零领域的障碍物，而当它消失以使其作为自动等效性而消失时，形态学就消失了。我们还比较了这两种类型的变形的变形空间。
We show that on an Abelian variety over an algebraically closed field of positive characteristic, the obstruction to lifting an automorphism to an Abelian variety over a field of characteristic zero as a morphism vanishes if and only if it vanishes for lifting it as an autoequivalence. We also compare the deformation space of these two types of deformations.
