Higher-Dimensional Algebraic Geometry

GPTKB entity

Predicate	Object
gptkbp:instanceOf	gptkb:mathematics
gptkbp:developedBy	20th century
gptkbp:focusesOn	algebraic geometry in dimensions greater than two
gptkbp:hasApplication	gptkb:string_theory mathematical physics number theory complex geometry
https://www.w3.org/2000/01/rdf-schema#label	Higher-Dimensional Algebraic Geometry
gptkbp:notableAchievement	gptkb:Mori's_minimal_model_program Abundance conjecture Cone theorem Flip theorem Termination of flips
gptkbp:notablePerson	gptkb:Shigefumi_Mori gptkb:Claire_Voisin gptkb:János_Kollár gptkb:Vladimir_Shokurov gptkb:Yujiro_Kawamata gptkb:Miles_Reid Vasily Iskovskikh
gptkbp:relatedTo	gptkb:Mori_theory gptkb:minimal_model_program gptkb:Enriques–Kodaira_classification birational geometry classification of algebraic varieties classification of surfaces
gptkbp:studies	gptkb:Fano_varieties gptkb:Calabi–Yau_varieties gptkb:higher-dimensional_algebraic_varieties moduli spaces rationally connected varieties singularities of higher-dimensional varieties
gptkbp:uses	gptkb:intersection_cohomology gptkb:Hodge_theory gptkb:mirror_symmetry gptkb:Gromov–Witten_invariants cohomology homological algebra intersection theory scheme theory toric geometry deformation theory moduli theory sheaf theory derived categories rational maps log geometry motivic methods pluricanonical maps
gptkbp:bfsParent	gptkb:Olivier_Debarre
gptkbp:bfsLayer	5