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Homotopy theory, homological algebra, algebraic treatments of manifolds.
5
votes
2
answers
450
views
Which $H$--groups satisfy the rigidity property of abelian varieties?
Let us call a group object $G$ in a category $\mathcal C$ rigid, if it has the following property: For every group object $X$ in $\mathcal C$, every morphism $G\to X$ in $\mathcal C$ respecting the u …
4
votes
Accepted
Does there exist a classification of covering spaces in algebraic geometry?
Yes, (and of course): The very definition of the étale fundamental group is that it classifies finite étale covers.
Precisely: Let $X$ be a connected scheme and $x$ be a geometric point of $X$. There …