论文标题
派生的类别和异性
Derived categories and birationality
论文作者
论文摘要
我们讨论了在两个平滑的投射品种$ x $和$ y $之间找到条件的问题，这意味着$ x $和$ y $是偶然的。我们认为的条件类型是在发现经典Torelli定理的分类类似物的精神上。我们尤其研究了强烈过滤的衍生等效性和研究案例的概念，在这些案例中，强烈过滤的衍生等效性暗示了偶然性。我们还考虑了我们主要问题的开放式变体。
We discuss the question of finding conditions on a derived equivalence between two smooth projective varieties $X$ and $Y$ that imply that $X$ and $Y$ are birational. The types of conditions we consider are in the spirit of finding categorical analogous of classical Torelli theorems. We study, in particular, a notion of strongly filtered derived equivalence and study cases where strongly filtered derived equivalence implies birationality. We also consider an open variant of our main question.
