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arXiv · 2203.06040

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

Timothy De Deyn
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Abstract

We compute the stringy $E$-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 $E$-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 $E$-function is a polynomial.

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Timothy De Deyn. 2022-03-11. A note on affine cones over Grassmannians and their stringy $E$-functions. https://doi.org/10.1090/proc/16378

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