April 2010


Is there a list somewhere of journals with RSS feeds? I’d been hoping to add a bunch of journals to my RSS reader, so I’d know when I need to get my hands on a copy from the library, interlibrary loan or, if need be, by buying an article, but it seems that it’s rare for a journal to make even title/author data available as an RSS feed.  Is there some reason for this, or just a general behind-the-times thing that will sort itself out over the next century or so?

This post begins my series on some classical geometry of curves and abelian varieties. We’ll start with some talk of line bundles and polarizations on abelian varieties in general, and the first big theorem I’m really targeting is the Torelli theorem (going to go with Andreotti’s proof, though once some other stuff is covered, might reprove it another way or two) but I might get distracted by other things along the way. We’ll see how this goes. Posting will be sporadic at best, and most of this material is, in more detailed form, going to appear in my master’s thesis (hopefully).

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Ok, so, I’ve been quiet lately.  Once the semester ends, I’ll probabyl start posting a bit more again (I’ll have a new laptop in a week and ahalf, which will help) and I’m going to talk about theta functions, theta divisors, the Torelli theorem and the Schottky problem, passing through some cool stuff with Prym maps first.  In fact, on the topic of Schottky, a good paper I just found, but which isn’t new, is this one by Krichever proving the Trisecant Conjecture, and also this new paper of Gulbrandsen and Lahoz, where they extend a characterization by Pareschi and Popa to finite length subschemes of abelian varieties, a very nice paper.

And, as the title said, I’ve come across a new kind of crazy entirely.  I’ve stared into the face of time cube and survived, but this…this is impressive.  Pure Math Theory is…you have to see it to believe it.  Don’t look if you’ve had your fill of cranks, though!

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