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Results tagged with algebraic-stacks
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user 131104
2
votes
0
answers
473
views
Dimension of the moduli stack of vector bundles over a curve
Let $Vect_{n}(C)$ the moduli stack of vector bundles $V$ of rank $n$ over a smooth curve $C$ of genus $g$. It is well known that $Vect_{n}(C)$ is a smooth stack of dimension $\dim(H^{0}(C,End(V)))-\ …
- 787
4
votes
0
answers
287
views
Dimension of derived Artin stacks and perfect complexes
I am interested in the concept of dimension of derived and $n$-Artin stacks. Take for example the definition 4.10 of From HAG to DAG: derived moduli stacks. in which they define the dimension of a ta …
- 787
8
votes
0
answers
2k
views
Visualization of an algebraic stack
As the visuallization of an algebraic stack is virtually impossible I warn about this is a soft question.
I am interested in thinking visually about algebraic stacks (also higher and derived stacks, …
- 787
3
votes
0
answers
198
views
$2$-vector spaces and algebraic $2$-stacks
I am thinking about higher Artin stacks in the sense of Simpson, concretely I would like to calculate the dimension and compare these two cases:
$\mathfrak{X}_{1}=$ Higher linear stack classifying ( …
- 787