Properties (66)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Mathematical Objects
|
| gptkbp:are |
Connected
Projective Varieties Central in the Theory of Complex Multiplication Complex Tori Examples of Abelian Groups Isogenous to Other Abelian Varieties Related to Elliptic Curves Special Cases of Higher Dimensional Varieties Used in Number Theory Used in the Langlands Program Used in the Study of Algebraic Combinatorics Used in the Study of Algebraic Dynamics Used in the Study of Algebraic Groups Used in the Study of Algebraic K-theory Used in the Study of Algebraic Surfaces Used in the Study of Derived Categories Used in the Study of Galois Representations Used in the Study of Gromov-Witten Invariants Used in the Study of Algebraic Geometry over Finite Fields Algebraic_Varieties Used_in_Algebraic_Geometry Used_in_Algebraic_Topology Connected_Components_of_the_Identity Connected_to_Hodge_Theory Used_in_the_Study_of_Intersection_Theory Used_in_the_Study_of_Mirror_Symmetry Used_in_the_Study_of_Modular_Forms Used_in_the_Study_of_Moduli_Spaces Used_in_the_Study_of_Noncommutative_Geometry Used_in_the_Study_of_Rational_Homotopy_Theory Used_in_the_Study_of_Rational_Points Used_in_the_Study_of_Nonlinear_Differential_Equations |
| gptkbp:can_be |
Associated with Cohomology Groups
Classified by Their Dimension Represented by Abelian Schemes Represented by Weierstrass Equations Studied via Their Arithmetic Geometry Studied via Their Arithmetic Properties Studied via Their Deformation Theory Studied via Their Homological Algebra Studied via Their Homotopical Algebra Studied via Their L-functions Studied via Their Moduli Problems Studied via Their Representation Theory Studied via Their Symplectic Geometry Studied via Their Tropical Geometry Used in Cryptography Used in the Theory of Shimura Varieties Constructed_from_Algebraic_Cycles Constructed_from_Riemann_Surfaces Defined_over_Fields Endowed_with_a_Polarization Realized_as_Quotients_of_Complex_Tori Represented_by_Jacobians Studied_via_Their_Algebraic_Topology_Properties Studied_via_Their_Cohomological_Properties Studied_via_Their_Endomorphism_Rings Studied_via_Their_Geometric_Invariant_Theory Studied_via_Their_Jacobians Studied_via_Their_Picard_Groups |
| gptkbp:has |
Dimension
Group Structure Dual Varieties Automorphisms |
| https://www.w3.org/2000/01/rdf-schema#label |
Abelian Varieties
|