About: Hilbert's twenty-first problem

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The twenty-first problem of the 23 Hilbert problems, from the celebrated list put forth in 1900 by David Hilbert, concerns the existence of a certain class of linear differential equations with specified singular points and monodromic group.

Attributes	Values
rdf:type	Thing yago:WikicatOrdinaryDifferentialEquations yago:Abstraction100002137 yago:Attribute100024264 yago:Communication100033020 yago:Condition113920835 yago:Curve113867641 yago:DifferentialEquation106670521 yago:Difficulty114408086 yago:Equation106669864 yago:Line113863771 yago:MathematicalStatement106732169 yago:Message106598915 yago:Problem114410605 yago:WikicatHilbert'sProblems yago:Shape100027807 yago:State100024720 yago:Statement106722453 yago:WikicatAlgebraicCurves
rdfs:label	Vigésimo primer problema de Hilbert (es) Hilbert's twenty-first problem (en) Vigésimo-primeiro problema de Hilbert (pt) Двадцать первая проблема Гильберта (ru) Hilberts tjugoförsta problem (sv) 希爾伯特第二十一問題 (zh)
rdfs:comment	The twenty-first problem of the 23 Hilbert problems, from the celebrated list put forth in 1900 by David Hilbert, concerns the existence of a certain class of linear differential equations with specified singular points and monodromic group. (en) El vigésimo primer problema de Hilbert (uno de los conocidos como veintitrés Problemas de Hilbert, publicados en 1900 por el matemático alemán David Hilbert), se refiere a la existencia de una cierta clase de ecuaciones diferenciales lineales con puntos singulares y monodromía especificados. El problema quedó finalmente resuelto mediante contraejemplos proporcionados por Andrei Bolibrukh en 1989. (es) Hilberts tjugoförsta problem är ett av Hilberts 23 problem. Det formulerades år 1900 och handlar om att bevisa existensen av linjära differentialekvationer med en specificerad . Problemet är löst. Existensen av sådana grupper beror på problemets formulering. (sv) O vigésimo-primeiro problema dos 23 Problemas de Hilbert da célebre lista publicada em 1900 por David Hilbert, referencia a existência de uma certa classe de equações diferenciais lineares com pontos singulares específicos e grupo de monodromia[ ]. (pt) 希爾伯特第二十一問題是希爾伯特的23個問題之一：給定及一個線性表示(給定），是否存在一組上的，使得其由給出？ (zh) Два́дцать пе́рвая пробле́ма Ги́льберта (проблема Римана — Гильберта) — одна из 23 задач, которые Давид Гильберт предложил 8 августа 1900 года на II Международном конгрессе математиков, состоявшая в подтверждении или опровержении гипотезы о существовании системы линейных дифференциальных уравнений для произвольной заданной системы особых точек и заданной матрице монодромии. Оригинальная формулировка: (ru)
dcterms:subject	Hilbert's problems Algebraic curves Ordinary differential equations
Wikipage page ID	1965023 (xsd:integer)
Wikipage revision ID	1117727132 (xsd:integer)
Link from a Wikipage to another Wikipage	David Hilbert Josip Plemelj Riemann Riemann surface Complex plane Hilbert's problems Linear differential equation Complex representation Fundamental group Helmut Röhrl Fuchsian Riemann–Hilbert correspondence Henri Poincaré Isomonodromic deformation Riemann sphere Surjective Algebraic curves Ordinary differential equations Pierre Deligne Free group Mathematical singularity Point at infinity Riemann–Hilbert problem Linear differential equation of the Fuchsian class Base point G. D. Birkhoff Counting the constants Regular singularity Hilbert problems Monodromic group Monodromy group dbr:Fuchsian_zeta-function dbr:Local_monodromy dbr:Yuliy_S._Il'yashenko
Link from a Wikipage to an external page	http://aleph0.clarku.edu/~djoyce/hilbert/problems.html http://euclid.ucc.ie/pages/staff/mk/mathesis.pdf https://books.google.com/books%3Fid=f0urAAAAIAAJ https://web.archive.org/web/20050305104624/http:/www.gang.umass.edu/~kilian/mathesis/mathesis.html
sameAs	Hilbert's twenty-first problem Hilbert's twenty-first problem Hilbert's twenty-first problem Hilbert's twenty-first problem Hilbert's twenty-first problem Hilbert's twenty-first problem Hilbert's twenty-first problem Hilbert's twenty-first problem Hilbert's twenty-first problem Hilbert's twenty-first problem
dbp:wikiPageUsesTemplate	dbt:Authority_control dbt:Citation dbt:For dbt:Harvtxt dbt:Reflist dbt:Short_description dbt:Harvs dbt:Hilbert's_problems
authorlink	Andrei Bolibrukh (en) Ludwig Schlesinger (en) Vladimir Petrov Kostov (en)
first	Vladimir (en) L. (en) Andrey A. (en)
last	Schlesinger (en) Kostov (en)

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