An atlas of the affine line over the integers (Spec Z[x])
It has been a while since I blogged. I've been busy (bad excuse), and I've been not-finishing posts lately (or actually having an idea and then not even starting it). But in a few days there will be an interesting announcement which explains some of my past activities, so stay tuned, even if you don't like this blog post (or its corresponding page).
My fascination for $\mathrm{Spec}\,\mathbb{Z}[x]$ has already led to a blogpost in which I recreated Mumford's famous map in PGF/TikZ. This morning I came across another map of $\mathrm{Spec}\,\mathbb{Z}[x]$ by David Mumford, in his Lectures on Curves on an Algebraic Surface, and I decided to create an overview of all maps of this interesting object. And a collection of maps is called an atlas, so the result can be found at the page Atlas of $\mathrm{Spec}\,\mathbb{Z}[x]$ (at some point I need to create a better location for this, abusing pages on my blog doesn't feel right).
Later I will add comments to the maps, explaining why they are particularly interesting and how they relate to the other maps, but for now this will do.
If you have any remarks, corrections, or if you know of any other maps of $\mathrm{Spec}\,\mathbb{Z}[x]$ in the literature, please contact me!