Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Complex_multiplication> ?p ?o }
- Complex_multiplication abstract "In mathematics, complex multiplication is the theory of elliptic curves E that have an endomorphism ring larger than the integers; and also the theory in higher dimensions of abelian varieties A having enough endomorphisms in a certain precise sense (it roughly means that the action on the tangent space at the identity element of A is a direct sum of one-dimensional modules). Put another way, it contains the theory of elliptic functions with extra symmetries, such as are visible when the period lattice is the Gaussian integer lattice or Eisenstein integer lattice.It has an aspect belonging to the theory of special functions, because such elliptic functions, or abelian functions of several complex variables, are then 'very special' functions satisfying extra identities and taking explicitly calculable special values at particular points. It has also turned out to be a central theme in algebraic number theory, allowing some features of the theory of cyclotomic fields to be carried over to wider areas of application.David Hilbert is said to have remarked that the theory of complex multiplication of elliptic curves was not only the most beautiful part of mathematics but of all science.".
- Complex_multiplication thumbnail Lattice_torsion_points.svg?width=300.
- Complex_multiplication wikiPageExternalLink ComplexMultiplication.html.
- Complex_multiplication wikiPageExternalLink ExamplesOfEllipticCurvesWithComplexMultiplication.html.
- Complex_multiplication wikiPageID "537183".
- Complex_multiplication wikiPageLength "13371".
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- Complex_multiplication wikiPageRevisionID "665011200".
- Complex_multiplication wikiPageWikiLink Abelian_extension.
- Complex_multiplication wikiPageWikiLink Abelian_function.
- Complex_multiplication wikiPageWikiLink Abelian_variety.
- Complex_multiplication wikiPageWikiLink Abelian_variety_of_CM-type.
- Complex_multiplication wikiPageWikiLink Algebraic_Hecke_character.
- Complex_multiplication wikiPageWikiLink Algebraic_number.
- Complex_multiplication wikiPageWikiLink Algebraic_number_theory.
- Complex_multiplication wikiPageWikiLink Automorphism.
- Complex_multiplication wikiPageWikiLink Bulletin_of_the_American_Mathematical_Society.
- Complex_multiplication wikiPageWikiLink Carl_Friedrich_Gauss.
- Complex_multiplication wikiPageWikiLink Category:Abelian_varieties.
- Complex_multiplication wikiPageWikiLink Category:Class_field_theory.
- Complex_multiplication wikiPageWikiLink Category:Elliptic_functions.
- Complex_multiplication wikiPageWikiLink Class_field_theory.
- Complex_multiplication wikiPageWikiLink Cyclotomic_field.
- Complex_multiplication wikiPageWikiLink David_Hilbert.
- Complex_multiplication wikiPageWikiLink Direct_sum_of_modules.
- Complex_multiplication wikiPageWikiLink Drinfeld_module.
- Complex_multiplication wikiPageWikiLink Drinfeld_shtuka.
- Complex_multiplication wikiPageWikiLink Eisenstein_integer.
- Complex_multiplication wikiPageWikiLink Eisenstein_series.
- Complex_multiplication wikiPageWikiLink Elliptic_curve.
- Complex_multiplication wikiPageWikiLink Elliptic_curves.
- Complex_multiplication wikiPageWikiLink Elliptic_function.
- Complex_multiplication wikiPageWikiLink Elliptic_modular_function.
- Complex_multiplication wikiPageWikiLink Endomorphism_ring.
- Complex_multiplication wikiPageWikiLink Field_extension.
- Complex_multiplication wikiPageWikiLink Finite_field.
- Complex_multiplication wikiPageWikiLink Frobenius_endomorphism.
- Complex_multiplication wikiPageWikiLink Frobenius_map.
- Complex_multiplication wikiPageWikiLink Fundamental_pair_of_periods.
- Complex_multiplication wikiPageWikiLink Galois_extension.
- Complex_multiplication wikiPageWikiLink Galois_group.
- Complex_multiplication wikiPageWikiLink Gaussian_integer.
- Complex_multiplication wikiPageWikiLink Global_field.
- Complex_multiplication wikiPageWikiLink Global_function_field.
- Complex_multiplication wikiPageWikiLink Gotthold_Eisenstein.
- Complex_multiplication wikiPageWikiLink Graduate_Texts_in_Mathematics.
- Complex_multiplication wikiPageWikiLink Hecke_character.
- Complex_multiplication wikiPageWikiLink Heegner_number.
- Complex_multiplication wikiPageWikiLink Heegner_point.
- Complex_multiplication wikiPageWikiLink Hilbert_class_field.
- Complex_multiplication wikiPageWikiLink Hilberts_twelfth_problem.
- Complex_multiplication wikiPageWikiLink Hodge_conjecture.
- Complex_multiplication wikiPageWikiLink Ideal_class_group.
- Complex_multiplication wikiPageWikiLink Identity_element.
- Complex_multiplication wikiPageWikiLink Imaginary_quadratic_number_field.
- Complex_multiplication wikiPageWikiLink Integer.
- Complex_multiplication wikiPageWikiLink J-invariant.
- Complex_multiplication wikiPageWikiLink Kronecker_Jugendtraum.
- Complex_multiplication wikiPageWikiLink Langlands_philosophy.
- Complex_multiplication wikiPageWikiLink Langlands_program.
- Complex_multiplication wikiPageWikiLink Lattice_(group).
- Complex_multiplication wikiPageWikiLink Leopold_Kronecker.
- Complex_multiplication wikiPageWikiLink Local_field.
- Complex_multiplication wikiPageWikiLink Lubin–Tate_formal_group.
- Complex_multiplication wikiPageWikiLink Lubin–Tate_formal_group_law.
- Complex_multiplication wikiPageWikiLink Mathematics.
- Complex_multiplication wikiPageWikiLink Maximal_abelian_extension.
- Complex_multiplication wikiPageWikiLink Modular_form.
- Complex_multiplication wikiPageWikiLink Modular_forms.
- Complex_multiplication wikiPageWikiLink Modular_function.
- Complex_multiplication wikiPageWikiLink Module_(mathematics).
- Complex_multiplication wikiPageWikiLink Order_(ring_theory).
- Complex_multiplication wikiPageWikiLink Period_lattice.
- Complex_multiplication wikiPageWikiLink PlanetMath.
- Complex_multiplication wikiPageWikiLink Polynomial.
- Complex_multiplication wikiPageWikiLink Princeton_University_Press.
- Complex_multiplication wikiPageWikiLink Quadratic_field.
- Complex_multiplication wikiPageWikiLink Quaternion_algebra.
- Complex_multiplication wikiPageWikiLink Rational_number.
- Complex_multiplication wikiPageWikiLink Root_of_unity.
- Complex_multiplication wikiPageWikiLink Roots_of_unity.
- Complex_multiplication wikiPageWikiLink Several_complex_variables.
- Complex_multiplication wikiPageWikiLink Shimuras_reciprocity_law.
- Complex_multiplication wikiPageWikiLink Singular_curve.
- Complex_multiplication wikiPageWikiLink Singularity_theory.
- Complex_multiplication wikiPageWikiLink Special_function.
- Complex_multiplication wikiPageWikiLink Special_functions.
- Complex_multiplication wikiPageWikiLink Springer-Verlag.
- Complex_multiplication wikiPageWikiLink Springer_Science+Business_Media.
- Complex_multiplication wikiPageWikiLink Tangent_space.
- Complex_multiplication wikiPageWikiLink Torus.
- Complex_multiplication wikiPageWikiLink Unique_factorization_domain.
- Complex_multiplication wikiPageWikiLink Weierstrass_elliptic_function.
- Complex_multiplication wikiPageWikiLink Weierstrasss_elliptic_functions.
- Complex_multiplication wikiPageWikiLink File:Lattice_torsion_points.svg.
- Complex_multiplication wikiPageWikiLinkText "CM".
- Complex_multiplication wikiPageWikiLinkText "Complex multiplication".
- Complex_multiplication wikiPageWikiLinkText "Complex multiplication#Singular moduli".
- Complex_multiplication wikiPageWikiLinkText "Hermite–Ramanujan constant".
- Complex_multiplication wikiPageWikiLinkText "complex multiplication".