Birational classification of moduli spaces of representations of quivers
Aidan Schofield
Abstract
Let αbe a Schur root; let h=hcfv(α(v)) and let p = 1 - < α/h,α/h >. Then a moduli space of representations of dimension vector αis birational to p h by h matrices up to simultaneous conjugacy. Therefore, if h=1,2,3 or 4, then such a moduli space is a rational variety and if h divides 420 it is a stably rational variety.
Create a lesson
Related papers
Towards the Global Torelli Theorem
Daniil Serebrennikov
Disjoint and nearly disjoint sums of matrix multiplication tensors and their centroids
Martin Kassabov, J. M. Landsberg, Victor Souza et al.
Proper moduli spaces of isolated non-normal singularities
Jiucheng Dai, Daniel Halpern-Leistner, Mingjun Sun et al.
Divisors in projective bundles over the projective line whose complement is affine space
Remy van Dobben de Bruyn
Numerical Godeaux Surfaces with many disjoint (-2)-curves and Applications
Yifan Chen, YongJoo Shin
Nash Loci
Luca Sodomaco, Julian Weigert