Timeline for Sheafification of presheaf of trivial vector bundles is the stack of vector bundles
Current License: CC BY-SA 4.0
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| Jan 31, 2022 at 12:46 | comment | added | David Roberts♦ | The notation is meant to indicate the source and target of the groupoid scheme arising from the algebraic group. In this instance, both of those arrows are the (same) structure morphism mapping the group scheme $G$ to the base scheme $S$. In the topological category, one might take a topological group, and consider (as one can, there) $S=\ast$. Then there would be a groupoid with a single object. | |
| Jan 31, 2022 at 12:36 | history | edited | Niels | CC BY-SA 4.0 |
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| Jan 31, 2022 at 9:33 | comment | added | Niels | Look at the definition of a groupoid in Olsson's book: 3.4.4 p.79. | |
| Jan 31, 2022 at 8:51 | history | answered | Niels | CC BY-SA 4.0 |