When is the étale open topology a field topology?

We investigate the following question: Given a field K, when is the ´etale open topology EK induced by a field topology? On the positive side, when K is the fraction field of a local domain R 6= K, using a weak form of resolution of singularities due to Gabber, we show that EK agrees with the R-adic...

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Detalhes bibliográficos
Principais autores: Dittmann, P, Walsberg, E, Ye, J
Formato: Journal article
Idioma:English
Publicado em: Springer 2023