Lifting finite self maps of equicharacteristic complete local rings
Commutative Algebra
2011-05-13 v1 Algebraic Geometry
Dynamical Systems
Abstract
In the spirit of Fakhruddin (arXiv:math/0212208v1) and Szpiro-Bhatnagar (arXiv:1010.2715v1), we show that for an equicharacteristic complete local ring A, with a given embedding of Spec(A) in the prime spectrum Spec(R) of some complete regular local ring R, any finite self map of A can be lifted to a finite self map of R, keeping the given embedding.
Keywords
Cite
@article{arxiv.1105.1849,
title = {Lifting finite self maps of equicharacteristic complete local rings},
author = {Mahdi Majidi-Zolbanin and Nikita Miasnikov and Lucien Szpiro},
journal= {arXiv preprint arXiv:1105.1849},
year = {2011}
}
Comments
6 pages