A note on affine cones over Grassmannians and their stringy 𝐸-functions

Abstract

We compute the stringy E E -function of the affine cone over a Grassmannian. If the Grassmannian is not a projective space then its cone does not admit a crepant resolution. Nonetheless the stringy E E -function is sometimes a polynomial and in those cases the cone admits a noncommutative crepant resolution. This raises the question as to whether the existence of a noncommutative crepant resolution implies that the stringy E E -function is a polynomial.