Enumerating extensions of (π)-adic fields with given invariants

Autor:	Brian Sinclair, Sebastian Pauli
Rok vydání:	2017
Předmět:	Pure mathematics Algebra and Number Theory Degree (graph theory) Mathematics::Number Theory Local class field theory Ramification (botany) 010102 general mathematics Field (mathematics) 010103 numerical & computational mathematics Residual 01 natural sciences Set (abstract data type) TheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGES Mathematics::Algebraic Geometry Discriminant TheoryofComputation_ANALYSISOFALGORITHMSANDPROBLEMCOMPLEXITY ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION Polygon 0101 mathematics ComputingMethodologies_COMPUTERGRAPHICS Mathematics
Zdroj:	International Journal of Number Theory. 13:2007-2038
ISSN:	1793-7310 1793-0421
DOI:	10.1142/s1793042117501081
Popis:	We give an algorithm that constructs a minimal set of polynomials defining all extensions of a [Formula: see text]-adic field with given inertia degree, ramification index, discriminant, ramification polygon, and residual polynomials of the segments of the ramification polygon.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1a9558a356972862c8f54969002483e2 https://doi.org/10.1142/s1793042117501081 Zobrazit plný text záznamu