论文标题
通用添加剂chern类和GRR型定理
Universal additive Chern classes and a GRR-type theorem
论文作者
论文摘要
我们构建一个函子，从方案类别到分级环的类别，这是将Chern类理论带有添加剂第一chern类的初始对象。对于任何方案$ x $，我们的函子与$ x $的分级环与有限级的$γ$滤光的相关级环在$ x $上通过Grothendieck-riemann-Roch Type定理在本地免费的避雷器。
We construct a functor, from the category of schemes to the category of graded rings, that is an initial object for having a theory of Chern classes with an additive first Chern class. For any scheme $X$, the graded ring that our functor associates to $X$ is related to the associated graded ring of the $γ$-filtration on the Grothendieck ring of finite rank locally free sheaves on $X$ via a Grothendieck-Riemann-Roch type theorem.
