A henselian preparation theorem
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2021
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| _version_ | 1866913199654174720 |
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| author | Moret-Bailly, Laurent |
| author_facet | Moret-Bailly, Laurent |
| contents | We prove an analogue of the Weierstrass preparation theorem for henselian pairs, generalizing the local case recently proved by Bouthier and {\v C}esnavi{\v c}ius. As an application, we construct a henselian analogue of the resultant of p-adic series defined by Berger. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2112_13552 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | A henselian preparation theorem Moret-Bailly, Laurent Commutative Algebra Algebraic Geometry 13J15, 13B40, 13P15 We prove an analogue of the Weierstrass preparation theorem for henselian pairs, generalizing the local case recently proved by Bouthier and {\v C}esnavi{\v c}ius. As an application, we construct a henselian analogue of the resultant of p-adic series defined by Berger. |
| title | A henselian preparation theorem |
| topic | Commutative Algebra Algebraic Geometry 13J15, 13B40, 13P15 |
| url | https://arxiv.org/abs/2112.13552 |