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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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https://hal.archives-ouvertes.fr/hal-03502426
Contributor : Laurent Moret-Bailly Connect in order to contact the contributor
Submitted on : Tuesday, June 28, 2022 - 8:58:53 AM
Last modification on : Wednesday, July 6, 2022 - 9:33:31 AM

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  • HAL Id : hal-03502426, version 3
  • ARXIV : 2112.13552

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Laurent Moret-Bailly. A henselian preparation theorem. Israel Journal of Mathematics, Hebrew University Magnes Press, In press. ⟨hal-03502426v3⟩

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