DC pole | Wartość | Język |
dc.contributor.author | Blaszczok, Anna | - |
dc.date.accessioned | 2020-02-24T15:06:15Z | - |
dc.date.available | 2020-02-24T15:06:15Z | - |
dc.date.issued | 2019 | - |
dc.identifier.citation | Manuscripta mathematica, Vol. 159, iss. 3/4 (2019), s. 397-429 | pl_PL |
dc.identifier.issn | 0025-2611 | - |
dc.identifier.issn | 1432-1785 | - |
dc.identifier.uri | http://hdl.handle.net/20.500.12128/12764 | - |
dc.description.abstract | We develop a modification of a notion of distance of an element in a valued field
extension introduced by F.-V. Kuhlmann. We show that the new notion preserves the main
properties of the distance and at the same time gives more complete information about a
valued field extension.We study valued field extensions of prime degree to show the relation
between the distances of the elements and the corresponding extensions of value groups and
residue fields. In connection with questions related to defect extensions of valued function
fields of positive characteristic, we present constructions of defect extensions of rational
function fields K(x, y)|K generated by elements of various distances from K(x, y). In
particular, we construct dependent Artin–Schreier defect extensions of K(x, y) of various
distances. | pl_PL |
dc.language.iso | en | pl_PL |
dc.rights | Uznanie autorstwa 3.0 Polska | * |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/pl/ | * |
dc.subject | riemann zeta function | pl_PL |
dc.subject | singularity | pl_PL |
dc.subject | zeta functions | pl_PL |
dc.title | Distances of elements in valued field extensions | pl_PL |
dc.type | info:eu-repo/semantics/article | pl_PL |
dc.relation.journal | Manuscripta mathematica | pl_PL |
dc.identifier.doi | 10.1007/s00229-018-1100-6 | - |
Pojawia się w kolekcji: | Artykuły (WNŚiT)
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