Regularity of quotients by an automorphism of order $p$

Details Regularity of quotients by an automorphism of order $p$ Regularity of quotients by an automorphism of order $p$

2010-01-05

arxiv.org/abs/1001.0607v1

Mathematics

Algebraic Geometry

21 pages

Scientific paper

Let $B$ be a regular local ring and $G\subset\Aut(B)$ a finite group of local
automorphisms. Assume that $G$ is cyclic of prime order $p$, where $p$ is equal
to the residue characteristic of $B$. We give conditions under which the ring
of invariants $A=B^G$ is again regular.

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