About: Algebraic number theory: global fields

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Attributs	Valeurs
type	Concept
rdfs:seeAlso	Complex multiplication and moduli of abelian varieties
skos:inScheme	MSC 2010
broader concept	Number theory
narrower concept	Algebraic numbers; rings of algebraic integers PV-numbers and generalizations; other special algebraic numbers; Mahler measure Polynomials (irreducibility, etc.) Quadratic extensions Cubic and quartic extensions Cyclotomic extensions Other abelian and metabelian extensions Other number fields Iwasawa theory Units and factorization Class numbers, class groups, discriminants Galois theory Integral representations related to algebraic numbers; Galois module structure of rings of integers Galois cohomology Class field theory Langlands-Weil conjectures, nonabelian class field theory Zeta functions and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ L$"><mml:mi>L</mml:mi></mml:math>-functions of number fields Distribution of prime ideals Density theorems Other analytic theory Quaternion and other division algebras: arithmetic, zeta functions Other algebras and orders, and their zeta and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ L$"><mml:mi>L</mml:mi></mml:math>-functions AdÃ¨le rings and groups Arithmetic theory of algebraic function fields Cyclotomic function fields (class groups, Bernoulli objects, etc.) Class groups and Picard groups of orders <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ K$"><mml:mi>K</mml:mi></mml:math>-theory of global fields Totally real fields None of the above, but in MSC2010 section 11Rxx
skos:prefLabel	Algebraic number theory: global fields 代数数论: 整体域(复数乘法, 见11G15)
skos:altLabel	Algebraic number theory: global fields {For complex multiplication see 11G15}
http://msc2010.org...#seeConditionally	Complex multiplication and moduli of abelian varieties
http://msc2010.org...10/msc2010#seeFor	http://msc2010.org/resources/MSC/2010/11Rxx-to-11G15-seeFor
skos:closeMatch	from MSC1991 value of: Algebraic number theory: global fields, {For complex multiplication, See 11G15} from MSC2000 value of: Algebraic number theory: global fields {For complex multiplication, see 11G15}
skos:notation	11Rxx
skos:note	For complex multiplication, see 11G15.
skos:relatedMatch	http://msc2010.org/resources/MSC/2010/fullDD21-512.74
skos:semanticRelation	Complex multiplication and moduli of abelian varieties
is Subject of	Algorithm design and theoretical analysis of a novel CMM modular exponentiation algorithm for large integers
is broader concept of	Algebraic numbers; rings of algebraic integers PV-numbers and generalizations; other special algebraic numbers; Mahler measure Polynomials (irreducibility, etc.) Quadratic extensions Cubic and quartic extensions Cyclotomic extensions Other abelian and metabelian extensions Other number fields Iwasawa theory Units and factorization Class numbers, class groups, discriminants Galois theory Integral representations related to algebraic numbers; Galois module structure of rings of integers Galois cohomology Class field theory Langlands-Weil conjectures, nonabelian class field theory Zeta functions and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ L$"><mml:mi>L</mml:mi></mml:math>-functions of number fields Distribution of prime ideals Density theorems Other analytic theory Quaternion and other division algebras: arithmetic, zeta functions Other algebras and orders, and their zeta and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ L$"><mml:mi>L</mml:mi></mml:math>-functions AdÃ¨le rings and groups Arithmetic theory of algebraic function fields Cyclotomic function fields (class groups, Bernoulli objects, etc.) Class groups and Picard groups of orders <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$ K$"><mml:mi>K</mml:mi></mml:math>-theory of global fields Totally real fields None of the above, but in MSC2010 section 11Rxx
is narrower concept of	Number theory
is http://msc2010.org...msc2010#forSource of	http://msc2010.org/resources/MSC/2010/11Rxx-to-11G15-seeFor

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