论文标题

刚化的托托尔共体,超覆盖和束胶ger

Rigidified torsor cocycles, hypercoverings and bundle gerbes

论文作者

Schröer, Stefan

论文摘要

我们在d = n-1的成员中对较高程度n的捆层共同体的几何解释在r = n-2型超覆盖中,并具有额外的数据,即所谓的刚化。这概括了一个事实,即在学位上的共同体学是托架的同构类别的群体,在该类别中,刚化的僵化变得空虚,并且第二学位上的共同学可以用捆绑的gerbes来表达,其中刚化变成了社会性约束。

We give a geometric interpretation of sheaf cohomology for higher degrees n in terms of torsors on the member of degree d=n-1 in hypercoverings of type r=n-2, endowed with an additional data, the so-called rigidification. This generalizes the fact that cohomology in degree one is the group of isomorphism classes of torsors, where the rigidification becomes vacuous, and that cohomology in degree two can be expressed in terms of bundle gerbes, where the rigidification becomes an associativity constraint.

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