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Questions that are about research in mathematics, or about the job of a research mathematician, without being mathematical problems or statements in the strictest sense. Do not use this tag for easy or supposedly easy mathematical questions.
12
votes
What is the etymology of the term "perverse sheaf"?
One explanation I heard (it may have been from MacPherson but I am not sure) was that "perverse" was used in the sense of "contrary", the cycles used in the definition refuse to move away from the sin …
28
votes
Accepted
Why are normal crossing divisors nice?
It mostly has to do with finding nice compactifications. Compactifications of
varieties are a good thing as they allow us to control what happens at
"infinity". If the variety itself is smooth it seem …
51
votes
Accepted
Separable and algebraic closures?
Geometrically there is a very big difference between separable and algebraic
closures (in the only case where there is a difference at all, i.e., in positive
characteristic $p$). Technically, this com …