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pseudosinusoid•

Wow this is really interest--oh god this is a book. I thought I was going to make it through this, but I was wrong.

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sheafificationOP•

It really is more of a long-term project. Nevertheless, resolution of singularities is not known to be easy, but this article seems like a really approachable way to get a handle on it (even if it takes a load of work to make it to the end).

Just browsing through it can give a basic feeling for what's going on - and the pictures are pretty! :-)

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bobovski•

I love the expository, informal tone. I wish more mathematics was presented this way. To be fair, one can get away with a bit more in a Bulletin article, but this seems even less rigid and more verbose than is normal for the journal.

I've only really skimmed it so far, I'm not an algebraic geometer and will likely not understand most of this, but the description of parameterizing varieties by manifolds is very clear even by the first page. I really like the scheme theoretic "dictionary" appearing on page 333. Neat!

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sheafificationOP•

I love the expository, informal tone. I wish more mathematics was presented this way.

Me too. I think this would a be good article for someone trying to learn algebraic geometry beyond the definitions. It uses all the modern language, but also phrases them in more simple terms.

Plus I really like the idea that the proofs aren't handed down all polished up, but are presented in a way that one would actually go through in discovering them. The pretty version makes sense for reference, but this way makes more sense to me for learning.

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bobovski•

Plus I really like the idea that the proofs aren't handed down all polished up...The pretty version makes sense for reference, but this way makes more sense to me for learning.

I'm currently "polishing" results from my thesis for publication. It's really sad seeing a lot of the motivation and background disappear. One proof, in particular, seems like it came from out of nowhere without the proper context for the technique. On the other hand, I really don't feel like trying to get an enormous paper published.

Here's how I think about it these days...books are for exposition. Papers are for dissemination of facts. There are a few journals that can pull off article like this, but they are extraordinarily few and far between (I can only count perhaps 3).

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[deleted]•

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