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In algebraic geometry, a quotient stack is a stack that parametrizes equivariant objects. Geometrically, it generalizes a quotient of a scheme or a variety by a group: a quotient variety, say, would be a coarse approximation of a quotient stack.
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stack quotient displaystyle stacks moduli mathbb bundle space algebraic group bundles also scheme principal map classifying line equivariant deligne mumford
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| Quotient stack | is a | stack that parametrizes equivariant objects | 0.90 | text |
| Quotient stack | related to Definition | Let | 0.60 | section |
| Quotient stack | related to Definition | S-scheme | 0.60 | section |
| Quotient stack | related to Definition | X/G | 0.60 | section |
| Quotient stack | related to Definition | S-schemes | 0.60 | section |
| Quotient stack | related to Definition | G-bundle | 0.60 | section |
| Quotient stack | related to Examples | An | 0.60 | section |
| Quotient stack | related to Examples | M/G | 0.60 | section |
| Quotient stack | related to Examples | If | 0.60 | section |
| Quotient stack | related to Examples | S/G | 0.60 | section |
| Quotient stack | related to Examples | BG | 0.60 | section |
| Quotient stack | related to Examples | Borel's | 0.60 | section |
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