Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
gptkb:Polygon |
| gptkbp:application |
studying singularities of algebraic varieties
studying solutions to polynomial equations |
| gptkbp:category |
gptkb:algebraic_geometry
polytopes |
| gptkbp:defines |
The convex hull of the exponent vectors of the monomials appearing in a Laurent polynomial.
|
| gptkbp:dimensions |
equal to the number of variables in the polynomial
|
| gptkbp:field |
gptkb:algebraic_geometry
combinatorics |
| https://www.w3.org/2000/01/rdf-schema#label |
Newton polytope
|
| gptkbp:namedAfter |
gptkb:Isaac_Newton
|
| gptkbp:property |
depends on the support of the polynomial
is a convex polytope in Euclidean space |
| gptkbp:relatedConcept |
gptkb:moment_polytope
gptkb:Newton_polygon |
| gptkbp:relatedTo |
gptkb:Laurent_polynomial
convex hull |
| gptkbp:usedIn |
gptkb:algebraic_statistics
gptkb:tropical_geometry toric geometry |
| gptkbp:bfsParent |
gptkb:Okounkov_body
|
| gptkbp:bfsLayer |
5
|