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

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 …

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 …

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 …