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Everything about Quotient stack
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. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Quotient stackA 5-minute orientation
- Skim a recent paper: Effective Morphisms and Quotient StacksInfluential work since 2022
- Pick up a classic book: Personality readerThe most-reprinted book on the subject
- Read the landmark paper: Deterministic stack automata and the quotient operatorCited 20 times
- Go sideways: Stack (mathematics)A closely related topic
- Go sideways: Deligne–Mumford stackA closely related topic
📖 Definitions
No dictionary entry for this exact phrase.
🗂️ The subject at a glance
🏆 Landmark papers (most cited)
Deterministic stack automata and the quotient operator
Tropicalization is a non-Archimedean analytic stack quotient
On the global quotient structure of the space of twisted stable maps to a quotient stack
A quotient stack related to the Weyl algebra
R69-9 Deterministic Stack Automata and the Quotient Operator
🆕 Influential since 2022
📚 Books worth reading
Personality readerMiriam W. Schustack, Miriam W. Schustack · 2007
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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- Cohomology of a stack In algebraic geometry, the cohomology of a stack is a collection of cohomological theories associated with algebraic stacks, extending familiar constructions…
- Moduli space In mathematics, in particular algebraic geometry, a moduli space is a geometric space (usually a scheme or an algebraic stack) whose points represent algebro-ge…
- Algebraic stack In mathematics, an algebraic stack is a vast generalization of algebraic spaces, or schemes, which are foundational for studying moduli theory. Many moduli…
- Chow group of a stack In algebraic geometry, the Chow group of a stack is a generalization of the Chow group of a variety or scheme to stacks. For a quotient stack X = [ Y /…
- Equivariant cohomology In mathematics, equivariant cohomology (or Borel cohomology) is a cohomology theory from algebraic topology which applies to topological spaces with a…
- Moduli stack of elliptic curves In mathematics, the moduli stack of elliptic curves, denoted as M 1 , 1 {\displaystyle {\mathcal {M}}_{1,1}} or M e l l {\displaystyle {\mathcal {M}}_{\mathrm…