Monthly Archives: September 2009

B-N-R Part 5: Spectral Curves

Posted on September 10, 2009 by Charles Siegel

Today we’re back to some material from the first post in this series, and going to prove an actual theorem about vector bundles.  Next time, we’ll be getting into the heart of the paper, and that may be my last … Continue reading →

Posted in Abelian Varieties, Big Theorems, Curves, Vector Bundles | 4 Comments

Blogroll Update Day

Posted on September 9, 2009 by Charles Siegel

I’ve been a lot more active recently, now that my life has quieted down a bit into reading papers, running seminars, taking classes, and teaching a bit, instead of the craziness of a wedding.  So now, something I’ve been meaning … Continue reading →

Posted in Uncategorized | 3 Comments

B-N-R Part 4: Prym Varieties

Posted on September 9, 2009 by Charles Siegel

The last post was on the generalities of Abelian varieties, and constructing a map.  This time, we’re going to do it for a specific one, and the maps involved will all be useful later.  We start out with a finite … Continue reading →

Posted in Abelian Varieties, Big Theorems, Curves, Vector Bundles | Leave a comment

B-N-R Part 3: PPAV’s and some details

Posted on September 9, 2009 by Charles Siegel

Now, we continue our tour through Beauville, Narasimhan, Ramanan.  We’ve talked about Twisted Endomorphisms and we’ve talked about the Generalized Theta Divisor on the Moduli Space of Vector Bundles.  So today we’ll talk a bit about Abelian Varieties, Principal Polarizations, … Continue reading →

Posted in Abelian Varieties, Algebraic Geometry, Big Theorems, Curves, Vector Bundles | 2 Comments

Local Fields

Posted on September 6, 2009 by Jim Stankewicz

Dear Readers, Let’s examine the role of topology in the study of fields and arithmetic. A topology on a field compatible with the field operations is given by an absolute value, which in turn defines a metric. Outside of number … Continue reading →

Posted in Uncategorized | 3 Comments