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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. …
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 $M$. …
34
votes
Accepted
What is sheaf cohomology intuitively?
But, as far as intuition goes, this works pretty well for me. …
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 …