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Journal Articles Israel Journal of Mathematics Year : 2023

A henselian preparation theorem

Abstract

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)

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Cite

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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