Sheafification functors and Tannaka's reconstruction
Sheafification functors and Tannaka's reconstruction
复制标题
Sheafification函子和Tannaka的重建
DOI：
--
复制
发表时间：
2014
期刊：
影响因子：
--
通讯作者：
F. Tonini
中科院分区：
文献类型：
--
作者：
F. Tonini
我们将“层化”函子从（lax monoidal）线性函子范畴引入栈的（代数的）拟凝聚层范畴。它们推广了分次模的齐次层化的投射计划，并在非交换伽罗瓦覆盖和考克斯环和齐次层化函子理论中有应用。此外，利用这一理论，我们证明了一个非中性形式的Tannaka的重建，扩展了经典的对应torsors和强monoidal函子。
We introduce "sheafification" functors from categories of (lax monoidal) linear functors to cat- egories of quasi-coherent sheaves (of algebras) of stacks. They generalize the homogeneous sheafification of graded modules for projective schemes and have applications in the theory of non-abelian Galois covers and of Cox rings and homogeneous sheafification functors. Moreover, using this theory, we prove a non-neutral form of Tannaka's reconstruction, extending the classical correspondence between torsors and strong monoidal functors.