Tropical geometry

GPTKB entity

Statements (50)
Predicate Object
gptkbp:instanceOf gptkb:algebraic_geometry
gptkb:mathematical_concept
gptkbp:appliesTo gptkb:mirror_symmetry
moduli spaces
enumerative geometry
gptkbp:conference Tropical Geometry and Integrable Systems (TGIS)
Tropical Geometry in Combinatorics and Algebraic Geometry
gptkbp:hasApplication discrete mathematics
mathematical physics
optimization
phylogenetics
computational algebraic geometry
gptkbp:hasConcept gptkb:tropical_curve
gptkb:tropical_polynomial
gptkb:tropical_variety
tropicalization
gptkbp:hasJournal Introduction to tropical geometry by Diane Maclagan and Bernd Sturmfels
Tropical geometry and its applications by Bernd Sturmfels
Tropical algebraic geometry by Grigory Mikhalkin
gptkbp:hasMethod valuation theory
polyhedral geometry
combinatorial patchworking
degeneration of algebraic varieties
gptkbp:hasWebsite https://tropicalgeometry.org/
https://www.w3.org/2000/01/rdf-schema#label Tropical geometry
gptkbp:namedAfter gptkb:Imre_Simon
gptkbp:notableContributor gptkb:Grigory_Mikhalkin
gptkb:Ilia_Itenberg
gptkb:Bernd_Sturmfels
gptkb:Eric_Katz
gptkb:Sam_Payne
gptkb:Lothar_Göttsche
gptkb:Andreas_Gathmann
gptkb:Diane_Maclagan
gptkb:Imre_Simon
gptkbp:notablePublication Tropical Algebraic Geometry by Grigory Mikhalkin and Ilia Itenberg
Tropical Geometry and Integrable Systems by Chris Athorne and Alex Kasman
Introduction to Tropical Geometry by Diane Maclagan and Bernd Sturmfels
gptkbp:originatedIn late 20th century
gptkbp:relatedTo matroid theory
combinatorics
toric geometry
gptkbp:studies combinatorial aspects of algebraic varieties
piecewise-linear structures
gptkbp:uses gptkb:max-plus_algebra
gptkb:min-plus_algebra
gptkb:tropical_semiring
gptkbp:bfsParent gptkb:Enumerative_geometry
gptkb:Tropical_semiring
gptkbp:bfsLayer 7