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Discriminant Groups of Wild Cyclic Quotient Singularities by Lorenzini, Dino; Schröer, Stefan is a scholarly article available to read on EtoBox.

What is Discriminant Groups of Wild Cyclic Quotient Singularities about?

Let p be prime. We describe explicitly the resolution of singularities of several families of wild Z/pZ-quotient singularities in dimension two, including families that generalize the quotient singularities of type E_6, E_7, and E_8 from p=2 to arbitrary characteristics. We prove that for odd primes, any power of p can appear as the determinant of the intersection matrix of a wild Z/pZ-quotient singularity. We also provide evidence towards the conjecture that in this situation one may choose the wild action to be ramified precisely at the origin.

Author

Lorenzini, Dino; Schröer, Stefan

Published

2021

Language

EN