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Journal Articles Israel Journal of Mathematics Year : 2023

A henselian preparation theorem


We prove an analogue of the Weierstrass preparation theorem for henselian pairs, generalizing the local case recently proved by Bouthier and Česnavičius. As an application, we construct a henselian analogue of the resultant of p-adic series defined by Berger.
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Dates and versions

hal-03502426 , version 1 (25-12-2021)
hal-03502426 , version 2 (16-06-2022)
hal-03502426 , version 3 (28-06-2022)
hal-03502426 , version 4 (24-12-2023)



Laurent Moret-Bailly. A henselian preparation theorem. Israel Journal of Mathematics, 2023, 257, pp.519-531. ⟨10.1007/s11856-023-2545-1⟩. ⟨hal-03502426v4⟩
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