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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.

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 …
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29 votes
10 answers
4k views

How can I really motivate the Zariski topology on a scheme?

First of all, I am aware of the questions about the Zariski topology asked here and I am also aware of the discussion at the Secret Blogging Seminar. But I could not find an answer to a question that …
user717's user avatar
  • 5,243
29 votes
6 answers
3k views

Errata database?

Some authors do a really great job by collecting errors and comments to their books and putting a list on their websites. I wonder if there is some (perhaps wiki-style) website where errata are collec …
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15 votes
8 answers
2k views

How can I conclude that I live in a solar system?

Well, this is an awkward question and I don't know if it is mathematical enough for MO (I'm sorry if not) but I'll try it: What observations in the coordinate system centered in my fixed position on e …
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14 votes

What out-of-print books would you like to see re-printed?

Methods of representation theory (Vol 1+2) by Curtis and Reiner. It's a shame that this is out of print!
7 votes

How should one approach tropical mathematics?

For an overview of tropical geometry perhaps: A. Gathmann, Tropical algebraic geometry, Jahresbericht der DMV 108 It's available here.
2 votes

A website linking to most major math journals?

Google. Regensburg library search: http://rzblx1.uni-regensburg.de/ezeit/search.phtml?bibid=AAAAA&colors=7&lang=en Dave Benson's list: http://www.maths.abdn.ac.uk/~bensondj/html/maths.html Google.
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