Statements (55)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Algebraic Variety
|
| gptkbp:automorphismGroup |
Algebraic Torus
|
| gptkbp:builtBy |
gptkb:Polygon
gptkb:Lattice Fan Cone Monoid Algebra |
| gptkbp:characterizedBy |
Fans
Combinatorial Data |
| gptkbp:contains |
Algebraic Torus
|
| gptkbp:definedIn |
Algebraically Closed Field
|
| gptkbp:example |
Affine Variety
Normal Variety Projective Variety Quasiprojective Variety Rational Variety Singular Variety Smooth Variety |
| gptkbp:field |
gptkb:algebraic_geometry
|
| gptkbp:hasApplication |
gptkb:String_Theory
gptkb:Mirror_Symmetry gptkb:Representation_Theory Combinatorics Optimization Mathematical Physics Singularity Theory |
| gptkbp:hasDenseOrbit |
Algebraic Torus
|
| https://www.w3.org/2000/01/rdf-schema#label |
Toric Varieties
|
| gptkbp:introduced |
gptkb:Mumford
Demazure |
| gptkbp:referencedIn |
Cox, Little, Schenck, Toric Varieties
Fulton, Introduction to Toric Varieties Oda, Convex Bodies and Algebraic Geometry |
| gptkbp:relatedTo |
gptkb:Minimal_Model_Program
gptkb:Polytopes Fans Divisors Singularities Cox Ring Homogeneous Coordinate Ring Lattice Points Mori Theory Newton Polytope Resolution of Singularities |
| gptkbp:structure |
Algebraic Variety
Torus Action |
| gptkbp:studiedIn |
gptkb:algebraic_geometry
|
| gptkbp:usedIn |
gptkb:String_Theory
gptkb:Mirror_Symmetry gptkb:Representation_Theory Combinatorics Polyhedral Geometry Singularity Theory |
| gptkbp:bfsParent |
gptkb:Hal_Schenck
|
| gptkbp:bfsLayer |
8
|