most recent 30 from http://mathoverflow.net 2013-06-20T01:34:44Z http://mathoverflow.net/feeds/user/16914 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/88740/good-book-on-riemann-surfaces-and-galois-theory Nick Addington 2012-02-17T17:06:56Z 2012-10-22T22:47:28Z

<p>I'm supervising an undergraduate project on Galois theory and covering spaces. I want to have him read about the fact that from a branched cover of a Riemann surface you get an extension of its field of meromorphic functions, and the Galois groups are the same, but I'm having trouble finding a good book. Fulton's "Algebraic Topology" is OK but rushes through this point. Forster's "Lectures on Riemann Surfaces" looks good but I'd rather not make him learn sheaves. Any recommndations?</p>

http://mathoverflow.net/questions/71934/a-little-help-with-the-unmixedness-theorem Nick Addington 2011-08-02T22:16:24Z 2011-08-03T01:57:34Z

<p>I have two smooth subvarieties $Y$ and $Z$ of a smooth variety $X$. Their intersection $Y \cap Z$ has two irreducible components, both of the expected dimension and generically reduced. I want to conclude that $Y \cap Z$ is reduced by the unmixedness theorem. Is this right?</p>

http://mathoverflow.net/questions/88740/good-book-on-riemann-surfaces-and-galois-theory Nick Addington 2012-02-18T00:20:34Z 2012-02-18T00:20:34Z

Simon Donaldson's new book &quot;Riemann Surfaces&quot; looks very nice if I could scare up a copy...

http://mathoverflow.net/questions/88740/good-book-on-riemann-surfaces-and-galois-theory Nick Addington 2012-02-18T00:09:16Z 2012-02-18T00:09:16Z

Douady and Douady is appealing to me, but it's probably too sophisticated for my student - they define the field of meromorphic functions as a projective limit, for example. McKean and Moll is more the right style, although I'm having trouble finding where they address the fact that I asked about.

http://mathoverflow.net/questions/88740/good-book-on-riemann-surfaces-and-galois-theory/88742#88742 Nick Addington 2012-02-17T23:39:31Z 2012-02-17T23:39:31Z

Thanks, although judging by the table of contents it may be too sheafy for an undergrad. Anyway it seems hard to come by - I can't find it in the library or online.

http://mathoverflow.net/questions/88740/good-book-on-riemann-surfaces-and-galois-theory/88745#88745 Nick Addington 2012-02-17T23:09:25Z 2012-02-17T23:09:25Z

What a lovely book. Probably too elementary for this student, but I hope I'll find an excuse to use it someday.

http://mathoverflow.net/questions/88740/good-book-on-riemann-surfaces-and-galois-theory/88755#88755 Nick Addington 2012-02-17T22:29:51Z 2012-02-17T22:29:51Z

Thanks, I will check out the Kuga reference. Kirwan doesn't mention Galois groups at all.

http://mathoverflow.net/questions/88740/good-book-on-riemann-surfaces-and-galois-theory/88765#88765 Nick Addington 2012-02-17T22:25:46Z 2012-02-17T22:25:46Z

This doesn't seem to mention anything the Galois group of a branched cover.

http://mathoverflow.net/questions/71934/a-little-help-with-the-unmixedness-theorem/71951#71951 Nick Addington 2011-08-03T05:40:23Z 2011-08-03T05:40:23Z

Thanks, Jason (and Hailong) - I haven't really used this Cohen-Macaulay stuff before, so I wanted to make sure I had my head screwed on straight.