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Lifting finite self maps of equicharacteristic complete local rings

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.

preprint2011arXivOpen access
Mahdi Majidi-ZolbaninNikita MiasnikovLucien Szpiro
math.ACmath.DSmath.AG
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Mahdi Majidi-ZolbaninNikita MiasnikovLucien Szpiro

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