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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

8 votes

Understand the difference between two stacks

One can see the difference by writing down the functor of points explicitly. For a test scheme $T$, \begin{align} (\mathbb G_m\times BH)(T) & =\{(f,p)\mid f:T\to \mathbb G_m, p:T'\to T\text{ $H$-torso …
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