Counting periodic points on quotient varieties over Fq
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DOI: 10.1016/j.jnt.2018.03.023
Abstract: Abstract Let V be a quasiprojective variety defined over F q , and let ϕ : V → V be an endomorphism of V that is also defined over F q . Let G be… read more here.
Keywords: periodic point; periodic points; counting periodic; quotient varieties ... See more keywords
Modular quotient varieties and singularities by the cyclic group of order 2p
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DOI: 10.1080/00927872.2020.1791148
Abstract: Abstract We classify all n-dimensional reduced Cohen-Macaulay modular quotient varieties and study their singularities, where p is a prime number and denotes the cyclic group of order 2p. In particular, we present an example that… read more here.
Keywords: cyclic group; modular quotient; group order; quotient varieties ... See more keywords
On the fundamental group schemes of certain quotient varieties
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DOI: 10.2748/tmj.20200727
Abstract: In \cite{armstrong}, M. Armstrong proved a beautiful result describing fundamental groups of quotient spaces. In this paper we prove an analogue of Armstrong's theorem in the setting of $F$-divided \cite{dS07} and essentially finite \cite{Nori76} fundamental… read more here.
Keywords: certain quotient; group schemes; schemes certain; fundamental group ... See more keywords