New paper: Fano 4-fold quiver moduli from subspace quivers

Whilst it might look like I am hyperproductive these few weeks, with a new blogpost coming up almost every day about something I have done, I am mostly just putting things online that were finished before, in preparation of the summer holidays. This post is about Fano 4-fold quiver moduli from subspace quivers, a new paper joint with Markus Reineke. Let's discuss the origin story of this paper in a way that is not appropriate for the paper's introduction, but that is perfect for a blog post. Origin It all started from Laurent Manivel's A four-dimensional cousin of the Segre cubic. In this paper, he studies a Fano fourfold, defined as the zero locus of a vector bundle on the product of two Grassmannians. Looking at the properties he finds for this Fano fourfold, my mind was applying the duck test in the following form: If it looks like a quiver moduli space, swims like a quiver moduli space, and quacks like a quiver moduli space, then it probably is a quiver moduli space. Quiver moduli…