论文标题
DG类别及其应用的共同体学理论的循环图
Cycle maps on cohomology theories for dg-categories and their applications
论文作者
论文摘要
在本文中，我们提出了泰特猜想和霍奇猜想的非共同版本。如果我们认为这些猜想是针对特定方案上的完美复合物的DG类别，那么它们分别等同于经典的泰特和霍奇猜想的$ x $。我们还提出了一种如何通过利用动机贝司猜想的版本来证明这些猜想的策略。
In this article, we propose noncommutative versions of Tate conjecture and Hodge conjecture. If we consider these conjectures for a dg-category of perfect complexes over a certain schemes $X$, then they are equivalent to the classical Tate and Hodge conjectures for $X$ respectively. We also propose a strategy of how to prove these conjectures by utilizing a version of motivic Bass conjecture.
