About: Arakelov theory

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In mathematics, Arakelov theory (or Arakelov geometry) is an approach to Diophantine geometry, named for Suren Arakelov. It is used to study Diophantine equations in higher dimensions.

Attributes	Values
rdf:type	programming language
rdfs:label	Arakelov theory (en)
rdfs:comment	In mathematics, Arakelov theory (or Arakelov geometry) is an approach to Diophantine geometry, named for Suren Arakelov. It is used to study Diophantine equations in higher dimensions. (en)
dct:subject	Diophantine geometry Algebraic geometry
Wikipage page ID	16364229 (xsd:integer)
Wikipage revision ID	1092386658 (xsd:integer)
Link from a Wikipage to another Wikipage	Mordell conjecture Noether formula Annales Scientifiques de l'École Normale Supérieure Annals of Mathematics Holomorphic vector bundle Paul Vojta Riemann surface Inventiones Mathematicae P-adic valuation Mathematics Chow ring Green's function Arithmetic surface Complete variety Henri Gillet Suren Arakelov Spectrum of a ring Field with one element Diophantine geometry Diophantine geometry Intersection theory Absolute value (algebra) Algebraic geometry Chern class Hodge theory Hodge–Arakelov theory Todd class Diophantine equation Grothendieck–Riemann–Roch theorem Serge Lang Christophe Soulé Scheme (mathematics) Hermitian metric P-adic Hodge theory Chern character Adelic group
Link from a Wikipage to an external page	https://web.archive.org/web/20141030151303/http:/www.mathunion.org/ICM/ICM1974.1/Main/icm1974.1.0405.0408.ocr.pdf http://www.numdam.org/article/ASENS_1999_4_32_2_241_0.pdf https://webusers.imj-prg.fr/~vincent.maillot/Arakelov/
sameAs	Arakelov theory Arakelov theory Arakelov theory
txt	yes (en)
dbp:wikiPageUsesTemplate	dbt:Citation dbt:Cite_book dbt:Harvtxt dbt:Reflist dbt:Harvs dbt:Eom
authorlink	Gerd Faltings (en) Pierre Deligne (en) Suren Arakelov (en)
first	Pierre (en) Christophe (en) Gerd (en)
last	Soulé (en) Faltings (en) Arakelov (en) Deligne (en)
title	Arakelov theory (en)
year	1974 (xsd:integer) 1975 (xsd:integer) 1984 (xsd:integer) 1987 (xsd:integer) 1991 (xsd:integer)
has abstract	In mathematics, Arakelov theory (or Arakelov geometry) is an approach to Diophantine geometry, named for Suren Arakelov. It is used to study Diophantine equations in higher dimensions. (en)
gold:hypernym	Approach
prov:wasDerivedFrom	wikipedia-en:Arakelov_theory?oldid=1092386658&ns=0
page length (characters) of wiki page	11767 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Arakelov_theory
is Link from a Wikipage to another Wikipage of	René Schoof Determinant method Glossary of areas of mathematics Glossary of arithmetic and diophantine geometry Theory Arithmetic surface Arithmetic variety Lucien Szpiro Chow group Shou-Wu Zhang Henri Gillet Suren Arakelov Caterina Consani List of Armenian inventors and discoverers Ahmed Abbes Nikolai Durov Global field Height function Jean-Michel Bismut Arithmetic Chow group Szpiro's conjecture Hodge theory Hodge–Arakelov theory

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