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Definable Valuations induced by multiplicative subgroups and NIP Fields
| dc.contributor.author | Dupont, Katharina | |
| dc.contributor.author | Hasson, Assaf | |
| dc.contributor.author | Kuhlmann, Salma | |
| dc.date.accessioned | 2017-11-28T14:17:31Z | |
| dc.date.available | 2017-11-28T14:17:31Z | |
| dc.date.issued | 2017-04-10T15:35:54Z | eng |
| dc.description.abstract | We study the algebraic implications of the non-independence property (NIP) and variants thereof (dp-minimality) on infinite fields, motivated by the conjecture that all such fields which are neither real closed nor separably closed admit a definable henselian valuation. Our results mainly focus on Hahn fields and build up on Will Johnson's preprint "dp-minimal fields", arXiv: 1507.02745v1, July 2015. | eng |
| dc.description.version | published | eng |
| dc.identifier.arxiv | 1704.02910v3 | eng |
| dc.identifier.uri | https://kops.uni-konstanz.de/handle/123456789/40757 | |
| dc.language.iso | eng | eng |
| dc.subject | NIP, strong NIP, definable valuations, henselian fields, Hahn series, dp-minimal fields | eng |
| dc.subject.ddc | 510 | eng |
| dc.title | Definable Valuations induced by multiplicative subgroups and NIP Fields | eng |
| dc.type | WORKINGPAPER | eng |
| dspace.entity.type | Publication | |
| kops.description.comment | There was a mistake in Theorem 3.2 (4) of the first arxiv version posted April 10, we corrected it and modified the introduction and section 3 accordingly in the second version, a few other issues are fixed in the third version. | eng |
| kops.flag.knbibliography | true | |
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