amoeba (mathematics)

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appearsIn GKZ book 'Discriminants, Resultants, and Multidimensional Determinants'
gptkbp:application gptkb:mirror_symmetry
combinatorics
real algebraic geometry
gptkbp:borders related to the spine of the amoeba
gptkbp:definedIn image of a complex algebraic variety under the Log map
gptkbp:dimensions same as dimension of variety
gptkbp:field gptkb:algebraic_geometry
gptkb:tropical_geometry
complex analysis
https://www.w3.org/2000/01/rdf-schema#label amoeba (mathematics)
gptkbp:image_under Log map
gptkbp:introduced 1994
Gelfand, Kapranov, and Zelevinsky
gptkbp:Log_map (z1,...,zn) ↦ (log|z1|,...,log|zn|)
gptkbp:relatedTo gptkb:Newton_polytope
gptkb:tropical_variety
coamoeba
gptkbp:spine tropicalization of the variety
gptkbp:used_in study of zero loci of polynomials
gptkbp:bfsParent gptkb:Amoeba_method
gptkbp:bfsLayer 8