论文标题
束带的束带
Sheaves on Grothendieck constructions
论文作者
论文摘要
在本文中，我们介绍了对站点设置的协方差的Grothendieck结构的概括。我们研究了定义的位点结构在Grothendieck结构上的基本特性，并研究了相应的绳索饰物的共同体学方面。尽管文学中已经引入了$ g $ equivariant Sheaves $ sh_g（x）$的座椅，但它们的同胞方面尚未以期望的方式得到适当处理。因此，在本文的最后，我们研究了一些无环家族，引入了新型的无环分辨率，我们称之为$ g $ equivariant的上帝ement决议，行动程度以及其他一些基本的共同体学概念在$ sh_g（x）$中产生。
In this paper we introduce a generalisation of a covariant Grothendieck construction to the setting of sites. We study the basic properties of defined site structures on Grothendieck constructions as well as we treat the cohomological aspects of corresponding toposes of sheaves. Despite the fact that the toposes of $G$-equivariant sheaves $Sh_G(X)$ have been introduced in literature, their cohomological aspects have not been treated properly in a desired fashion. So in the end of the paper we study some of the acyclic families, introduce new type of acyclic resolutions which we call the $G$-equivariant Godement resolutions, the degree of actions, and some other basic cohomological concepts arising in $Sh_G(X)$.
