Matches in DBpedia 2016-04 for { <http://dbpedia.org/resource/Glossary_of_arithmetic_and_Diophantine_geometry> ?p ?o }
- Glossary_of_arithmetic_and_Diophantine_geometry abstract "This is a glossary of arithmetic and Diophantine geometry in mathematics, areas growing out of the traditional study of Diophantine equations to encompass large parts of number theory and algebraic geometry. Much of the theory is in the form of proposed conjectures, which can be related at various levels of generality.Diophantine geometry in general is the study of algebraic varieties V over fields K that are finitely generated over their prime fields—including as of special interest number fields and finite fields—and over local fields. Of those, only the complex numbers are algebraically closed; over any other K the existence of points of V with co-ordinates in K is something to be proved and studied as an extra topic, even knowing the geometry of V.Arithmetical or arithmetic (algebraic) geometry is a field with a less elementary definition. After the advent of scheme theory it could reasonably be defined as the study of Alexander Grothendieck's schemes of finite type over the spectrum of the ring of integers Z. This point of view has been very influential for around half a century; it has very widely been regarded as fulfilling Leopold Kronecker's ambition to have number theory operate only with rings that are quotients of polynomial rings over the integers (to use the current language of commutative algebra). In fact scheme theory uses all sorts of auxiliary constructions that do not appear at all 'finitistic', so that there is little connection with 'constructivist' ideas as such. That scheme theory may not be the last word appears from continuing interest in the 'infinite primes' (the real and complex local fields), which do not come from prime ideals as the p-adic numbers do.".
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- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageRevisionID "701322270".
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Abc_conjecture.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Abelian_variety.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Absolute_value_(algebra).
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Abstract_algebra.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Adelic_algebraic_group.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Affine_variety.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Alexander_Grothendieck.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Algebraic_K-theory.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Algebraic_curve.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Algebraic_cycle.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Algebraic_differential_equation.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Algebraic_function.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Algebraic_geometry.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Algebraic_number_field.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Algebraic_number_theory.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Algebraic_torus.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Algebraic_variety.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Algebraically_closed_field.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Almost_all.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Ample_line_bundle.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Analytic_number_theory.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Andrew_Wiles.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink André_Weil.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Arakelov_theory.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Archimedean_property.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Arithmetic_and_geometric_Frobenius.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Arithmetic_dynamics.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Arithmetic_genus.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Arithmetic_of_abelian_varieties.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Arithmetic_topology.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Artin_L-function.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Ax–Kochen_theorem.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Baire_category_theorem.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Bernard_Dwork.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Bernoulli_number.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Birch_and_Swinnerton-Dyer_conjecture.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Birch–Tate_conjecture.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Brauer_group.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Cambridge_University_Press.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Category:Algebraic_geometry.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Category:Diophantine_geometry.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Category:Glossaries_of_mathematics.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Characteristic_(algebra).
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Chevalley–Warning_theorem.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Class_field_theory.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Cohomology.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Commutative_algebra.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Compact_Riemann_surface.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Complex_manifold.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Complex_multiplication.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Complex_number.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Complex_plane.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Conjecture.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Counterexample.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Covering_group.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Crystalline_cohomology.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Cubic_form.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Cubic_plane_curve.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink David_Masser.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Diagonal_form.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Diophantine_approximation.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Diophantine_equation.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Diophantine_geometry.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Division_by_zero.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Divisor_(algebraic_geometry).
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Douglas_Northcott.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Eisensteins_theorem.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Elliptic_curve.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Elliptic_surface.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Enrico_Bombieri.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Euler_product.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Faltings_height.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Faltingss_theorem.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Fermat_curve.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Fermats_Last_Theorem.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Field_extension.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Finite_field.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Finitely_generated_abelian_group.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Flat_topology.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Fraction_(mathematics).
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Fractional_ideal.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Frobenius_endomorphism.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Fubini–Study_metric.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Functional_equation_(L-function).
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Galois_cohomology.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Galois_module.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Generating_function.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Genus_(mathematics).
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Geometric_genus.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Gerd_Faltings.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Global_field.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Glossary_of_arithmetic_and_Diophantine_geometry.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Gluing_axiom.
- Glossary_of_arithmetic_and_Diophantine_geometry wikiPageWikiLink Goppa_code.