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Aug
31 |
comment |
Fullness of pullback functor in algebraic geometry
Is it true that if $f^*$ is fully faithfull, then the subcategory $f^*(D^b(Coh(Y)))$ is admissible in $D^b(Coh(X))$, i.e. $f^*$ has a left adjoint? |
Aug
27 |
awarded | Curious |
Aug
26 |
accepted | Derived pullback of the coarse moduli morphism |
Aug
26 |
comment |
Derived pullback of the coarse moduli morphism
Thanks for the answer, Jason, but could you explain, please, why $f$ is flat and $\theta: Id\to Rf_{*}f^*$ is isomorphism in the tame case? |
Aug
26 |
asked | Derived pullback of the coarse moduli morphism |
Sep
8 |
awarded | Commentator |
Sep
8 |
comment |
On the local structure of Deligne-Mumford stacks
Of course I know about it, thanks. |
Sep
8 |
revised |
On the local structure of Deligne-Mumford stacks
added 172 characters in body |
Sep
7 |
asked | On the local structure of Deligne-Mumford stacks |
Feb
6 |
awarded | Critic |
Feb
4 |
comment |
On the local structure of stacks
@pranavk: I deliberately did not specify, because I am interested in any kind of results. |
Feb
3 |
asked | On the local structure of stacks |
Feb
3 |
awarded | Supporter |
Feb
3 |
comment |
On the coarse moduli space of a stack
And is it right that the sheafification of $\mathcal{X}^s$ is a scheme in the case of the quotient stack $[\mathbb{A}^1/\mathbb{Z}_n]$? |
Feb
3 |
accepted | On the coarse moduli space of a stack |
Feb
3 |
comment |
On the coarse moduli space of a stack
Thanks for the detailed answer, Dan. So, do I understand correctly that, if the sheafification of $\mathcal{X}^s$ is represented by a scheme, then it is a coarse moduli for $\mathcal{X}$? |
Feb
2 |
comment |
On the coarse moduli space of a stack
And what if $\mathcal{X}$ is the classifying stack BG or, for example, the quotient stack $[\mathbb{A}/\mathbb{Z}_n]$? Isn't $\mathcal{X}^s$ the coarse moduli for $\mathcal{X}$ in these cases? |
Feb
2 |
revised |
On the coarse moduli space of a stack
deleted 2 characters in body |
Feb
2 |
revised |
On the coarse moduli space of a stack
deleted 17 characters in body |
Feb
2 |
revised |
On the coarse moduli space of a stack
added 180 characters in body; added 1 characters in body |