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There is a well-known story about Grothendieck being asked to explain concretely some result involving prime numbers and of his answering "You mean an actual number? All right, take 57". See here. Un …

Certainly Bourbaki never wrote an introduction to algebraic geometry: we would have heard about it, right?

Projective geometry was introduced by fifteenth century Renaissance painters (like Alberti, da Vinci and Dürer) in the guise of perspective theory, although one could argue that Pappus was already doi …

If you look at the cross $C\subset \mathbb A^2_k$ given by $xy=0$ in the affine plane over the field $k$, you see or compute that it is exceptional at $O=(0,0)$ for many (obviously not independent) …

It is usual in algebraic geometry to represent morphisms by vertical arrows pointing downwards, like that : $$\begin{matrix} X \\\\ \downarrow \\\\ S \end{matrix}$$ I suppose this stemmed from Grot …