论文标题
派生的不变和动机，第一部分，整体Grothendieck Riemann-Roch和非交通动机
Derived invariants and motives, Part I, Integral Grothendieck Riemann-Roch and non-commutative motives
论文作者
论文摘要
这一系列论文的目的是针对诸如Joshi-Rajan的猜想以及Serre的猜想的概括等减少密度的问题提供新的非交通方法。在本文中，我们证明了整体的Grothendieck Riemann-Roch，在CH $（k）= 0 $的情况下，Papas证明了Papas。作为推论，我们证明了Kontsevich比较定理的整体类似物，并且我们表明，如果光滑的投射品种$ x $具有完整的特殊收藏，那么就有一个明确的$ x $ to to to Bounded Torsion的动机的公式。
The goal of this series of papers is to give a new non-commutative approach to problems about the density of reductions such as the conjecture of Joshi-Rajan, and the generalization of the conjecture of Serre. In this paper, we prove integral Grothendieck Riemann-Roch which was proved by Papas in the case ch$(k)=0$. As a corollary we prove an integral analogue of Kontsevich's comparison theorem, and we show that if a smooth projective variety $X$ has a full exceptional collection then there is an explicit formula of the motive of $X$ up to bounded torsion.
