algebra, algebraic geometry, algebraic topology, manifolds, math, number theory, topology

Volumes of p-adic Schemes

I came across this idea a long time ago, but I needed the result that uses it in its proof again, so I was curious about figuring out what in the world is going on. It turns out that you can make "$latex {p}&fg=000000$-adic measures" to integrate against on algebraic varieties. This is a pretty… Continue reading Volumes of p-adic Schemes

algebra, algebraic geometry, number theory

More Complicated Brauer Computations

Let's wrap up some of our Brauer group loose ends today. We can push through the calculation of the Brauer groups of curves over some other fields using the same methods as the last post, but just a little more effort. First, note that with absolutely no extra effort we can run the same argument… Continue reading More Complicated Brauer Computations