### About this blog

Rigorous trivialities is a web log about mathematics, but especially geometry, broadly construed. Contributors will be Charles Siegel, Jim Stankewicz and occasionally Matt Deland. Charles specializes in algebraic geometry, topology and mathematical physics. Jim specializes in arithmetic algebraic geometry. Matt has transitioned from algebraic geometry to work in industry.

Header is taken from the larger work by fdecomite under the creative commons license.

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### Top Posts & Pages

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# Monthly Archives: August 2009

## B-N-R Part 2: Moduli of Vector Bundles

Last time, we talked about twisted endomorphisms. Now, we’re moving on to the second paragraph of the paper: generalized theta divisors. In the meantime, we’re going to have to talk a bit about vector bundles and their moduli.

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

## B-N-R Part 1: Twisted Endomorphisms

Alright, I’m back, and newly married (thus the long hiatus from posting). And now it’s time to get back to math. I’m currently attempting to read a paper by Beauville, Narasimhan and Ramanan titled “Spectral Curves and the Generalized Theta … Continue reading

Posted in Abelian Varieties, Big Theorems, Curves, Vector Bundles
5 Comments

## Shih’s Theorem

Dear Readers, In spite of orals closing in a little more every day, I clearly haven’t been updating so much recently. I’d started a post about using Minkowski’s geometry of numbers to think about class numbers and unit groups and … Continue reading

Posted in Curves, Talks, Uncategorized
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