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Questions asking for the intuition behind some definition, conjecture, proof etc. In other words, questions designed to improve or to acquire understanding on a conceptual or intuitive level, as opposed to on a technical or formal level. When asking such a question it can be helpful to include a rough description of ones understanding of the subject at hand (on a technical level).

2 votes

Intuition for rational functions

Your intuition is confusing the 'fiber over a point' with `restriction to a closed subscheme'. In general these can be very different, even if they come from the same place conceptually. …
Greg Muller's user avatar
14 votes

Elementary $\mathrm{Ext}^1$ intuition

\to M\to 0$ If you are looking for intuition, what you should do is think about picking a set of generators $G$ for $M$. …
Greg Muller's user avatar
34 votes
Accepted

What is sheaf cohomology intuitively?

But, as far as intuition goes, this works pretty well for me. …
Greg Muller's user avatar
5 votes

Examples and intuition for arithmetic schemes

If you are looking for good first examples, Mumford's Red Book and Eisenbud and Harris's 'Geometry of Schemes' have some good pictures and examples. Its worth playing around with Spec(O_c), where O_c …