About: Grothendieck–Katz p-curvature conjecture

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In mathematics, the Grothendieck–Katz p-curvature conjecture is a local-global principle for linear ordinary differential equations, related to differential Galois theory and in a loose sense analogous to the result in the Chebotarev density theorem considered as the polynomial case. It is a conjecture of Alexander Grothendieck from the late 1960s, and apparently not published by him in any form. The general case remains unsolved, despite recent progress; it has been linked to geometric investigations involving algebraic foliations.

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rdfs:label	Grothendieck–Katz p-curvature conjecture (en)
rdfs:comment	In mathematics, the Grothendieck–Katz p-curvature conjecture is a local-global principle for linear ordinary differential equations, related to differential Galois theory and in a loose sense analogous to the result in the Chebotarev density theorem considered as the polynomial case. It is a conjecture of Alexander Grothendieck from the late 1960s, and apparently not published by him in any form. The general case remains unsolved, despite recent progress; it has been linked to geometric investigations involving algebraic foliations. (en)
dct:subject	Conjectures Galois theory Ordinary differential equations Unsolved problems in number theory Algebraic geometry
Wikipage page ID	3135542 (xsd:integer)
Wikipage revision ID	1068788515 (xsd:integer)
Link from a Wikipage to another Wikipage	Schwarz's list Benson Farb Deformation theory Algebraic function Algebraic group Conjectures Mathematics Gauss–Manin connection Monodromy Crystalline cohomology Arithmetic group Lie algebra Linear differential equation Zariski closure Mark Kisin Divided power structure Tannakian category Alexander Grothendieck Algebraic number Almost all Foliation Differential Galois theory Galois theory Ordinary differential equations Unsolved problems in number theory Algebraic geometry Block matrix Difference equation Polynomial Pierre Berthelot Local-global principle Superrigidity Picard–Fuchs equation P-curvature Nicholas Katz Hypergeometric equation Chebotarev density theorem Q-analogue Differential Galois group Locally symmetric variety
sameAs	Grothendieck–Katz p-curvature conjecture Grothendieck–Katz p-curvature conjecture Grothendieck–Katz p-curvature conjecture
dbp:wikiPageUsesTemplate	dbt:Reflist
has abstract	In mathematics, the Grothendieck–Katz p-curvature conjecture is a local-global principle for linear ordinary differential equations, related to differential Galois theory and in a loose sense analogous to the result in the Chebotarev density theorem considered as the polynomial case. It is a conjecture of Alexander Grothendieck from the late 1960s, and apparently not published by him in any form. The general case remains unsolved, despite recent progress; it has been linked to geometric investigations involving algebraic foliations. (en)
gold:hypernym	Principle
prov:wasDerivedFrom	wikipedia-en:Grothendieck–Katz_p-curvature_conjecture?oldid=1068788515&ns=0
page length (characters) of wiki page	6689 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Grothendieck–Katz_p-curvature_conjecture
is Link from a Wikipage to another Wikipage of	List of conjectures Gauss–Manin connection Glossary of arithmetic and diophantine geometry Hasse principle Nick Katz Grothendieck-Katz p-curvature conjecture List of things named after Alexander Grothendieck List of unsolved problems in mathematics P-curvature Tannakian formalism Grothendieck conjecture Grothendieck p-curvature conjecture
is Wikipage redirect of	Grothendieck-Katz p-curvature conjecture Grothendieck conjecture Grothendieck p-curvature conjecture
is known for of	Nick Katz
is known for of	Nick Katz
is foaf:primaryTopic of	wikipedia-en:Grothendieck–Katz_p-curvature_conjecture

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