Lifting finite self maps of equicharacteristic complete local rings

Lucien Szpiro; Mahdi Majidi-Zolbanin; Nikita Miasnikov

arxiv: 1105.1849 · v1 · pith:VGLCJ323new · submitted 2011-05-10 · 🧮 math.AC · math.AG· math.DS

Lifting finite self maps of equicharacteristic complete local rings

Mahdi Majidi-Zolbanin , Nikita Miasnikov , Lucien Szpiro This is my paper

classification 🧮 math.AC math.AGmath.DS

keywords completefinitelocalselfarxivembeddingequicharacteristicgiven

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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.

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Lifting finite self maps of equicharacteristic complete local rings

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