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Results tagged with at.algebraic-topology
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user 152042
Homotopy theory, homological algebra, algebraic treatments of manifolds.
2
votes
0
answers
181
views
Quotient of a derived Artin stack
Let $X$ be a derived Artin stack and $G$ be a reductive group acting on $X$.
Does the quotient $X/G$ always exist in the category of derived Artin stacks?
Please provide a reference in case it is true …
- 494
2
votes
0
answers
172
views
Intersection theory on normal crossing algebraic surfaces
Let $X$ be an algebraic surface with normal crossing singularities. Suppose the singular locus of $X$ is a smooth curve. Let us denote it by $C$. Suppose $D$ is another smooth curve in $X$ which inter …
- 494
3
votes
0
answers
356
views
on definitions of stacks
There are two ways to define a stack.
The first one is that the presheaf of sets Isom (a,b) is a sheaf and that every descent data is effective.
The second one says that a stack is a homotopy sheaf of …
- 494