Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6426092 | Advances in Mathematics | 2011 | 49 Pages |
Abstract
We define a tricategory T[â2,0] of length 3 complexes of abelian sheaves, whose hom-bigroupoids consist of weak morphisms of such complexes. We also define a 3-category 2PIC(S) of Picard 2-stacks, whose hom-2-groupoids consist of additive 2-functors. We prove that these categories are triequivalent as tricategories. As a consequence we obtain a generalization of Deligne's analogous result about Picard stacks in SGA4, Exposé XVIII (Deligne (1973) [11]).
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Mathematics
Mathematics (General)
Authors
A. Emin Tatar,