Diophantine Geometry

GPTKB entity

Statements (32)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:application coding theory
cryptography
gptkbp:fieldOfStudy gptkb:mathematics
gptkbp:focusesOn solutions to polynomial equations with integer or rational coefficients
gptkbp:hasConcept gptkb:Hasse_principle
gptkb:Weil_conjectures
gptkb:Brauer–Manin_obstruction
gptkb:Mordell_conjecture
gptkb:Faltings'_theorem
gptkbp:hasSubfield arithmetic geometry
arithmetic of abelian varieties
arithmetic of elliptic curves
https://www.w3.org/2000/01/rdf-schema#label Diophantine Geometry
gptkbp:namedAfter gptkb:Diophantus_of_Alexandria
gptkbp:notablePerson gptkb:André_Weil
gptkb:Jean-Pierre_Serre
gptkb:Yuri_Manin
gptkb:Alexander_Grothendieck
gptkb:Gerd_Faltings
gptkbp:relatedTo gptkb:algebraic_geometry
number theory
gptkbp:studies gptkb:Diophantine_equations
arithmetic of algebraic varieties
integral points on algebraic varieties
integral solutions
rational points on algebraic varieties
rational solutions
gptkbp:uses algebraic geometry techniques
arithmetic methods
gptkbp:bfsParent gptkb:Serge_Lang
gptkbp:bfsLayer 6