J. Green

collaborators

2 papers

math.AG2019

Reconstructing the Grassmannian of lines from Kapranov's tilting bundle

James Green

Let $E$ be the tilting bundle on the Grassmannian $Gr (n, r)$ of $r$ -dimensional quotients of $k^{n}$ constructed by Kapranov. Buchweitz, Leuschke and Van den Bergh introduc…

math.AG2017

Reconstructing toric quiver flag varieties from a tilting bundle

Alastair Craw, James Green

We prove that every toric quiver flag variety $Y$ is isomorphic to a fine moduli space of cyclic modules over the algebra $End (T)$ for some tilting bundle $T$ on $Y$ . This g…