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Questions of the kind "What's the name for a X that satisfies property Y?"

11 votes
Accepted

Equivalence of the term "divisor"

These two definitions are not the same and if you think about it, it is not at all surprising. In the first one you are looking at the definition of a divisor of a meromorphic function while in the se …
Sándor Kovács's user avatar
4 votes
Accepted

Terminology for blowups in algebraic geometry

You can find this terminology for example on page 156 in Mumford's Algebraic Geometry. …
Sándor Kovács's user avatar
38 votes
Accepted

What does the adjective "natural" actually mean?

Actually, there is an exact meaning, but it is not always used in that sense. For two functors $\mathsf F,\mathsf G:\mathscr A\to \mathscr B$ a natural transformation is a morphism of functors $\eta:\ …
Community's user avatar
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10 votes

Pushforward and pullback.

I would suggest a very simple way of thinking about these: you have some objects on both $X$ and $Y$ and you want to relate them, but for that they would need to reside on the same space. So you want …
Sándor Kovács's user avatar