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Results tagged with intuition
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user 717
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).
38
votes
Why are flat morphisms "flat?"
I remember the following two quotes about flatness (I forgot who said/wrote this):
For every geometric description of flatness there is a counterexample.
Flatness is one of the few notions in algebr …
- 5,243
2
votes
Examples and intuition for arithmetic schemes
Perhaps this is too special but ramification of primes in number fields is a nice motivation, here you can also draw funny pictures of curves over Spec(Z). The step from here to Dedekind schemes is im …