A note on affine cones over Grassmannians and their stringy $E$-functions
Algebraic Geometry
2023-09-18 v2
Abstract
We compute the stringy -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 -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 -function is a polynomial.
Cite
@article{arxiv.2203.06040,
title = {A note on affine cones over Grassmannians and their stringy $E$-functions},
author = {Timothy De Deyn},
journal= {arXiv preprint arXiv:2203.06040},
year = {2023}
}
Comments
v2: final version, incorporated suggestions of the referee. To appear in Proc. Amerc. Math. Soc