Kodaira embedding theorem

GPTKB entity

Statements (59)
Predicate Object
gptkbp:instanceOf gptkb:theorem
gptkbp:appliesTo complex manifolds
gptkbp:description conditions for a complex manifold to be projectively embedded
gptkbp:hasRelatedPatent string theory
mirror symmetry
https://www.w3.org/2000/01/rdf-schema#label Kodaira embedding theorem
gptkbp:isAssociatedWith complex geometry
gptkbp:isConnectedTo Riemann-Roch_theorem
gptkbp:isNamedAfter Kōsaku_Kodaira
gptkbp:isPartOf the study of algebraic varieties
gptkbp:isRelatedTo gptkb:Chern-Simons_theory
gptkb:Calabi-Yau_manifolds
gptkb:Fubini-Study_metric
gptkb:Kähler_manifolds
gptkb:complex_tori
differential geometry
Riemannian geometry
algebraic topology
intersection theory
sheaf theory
topological invariants
projective geometry
Kähler metrics
string compactifications
Riemann surfaces
complex structures
sheaf cohomology
Cohomology groups
symplectic geometry
deformation theory
complex projective space
projective varieties
linear systems
Gromov-Witten invariants
Fano varieties
birational geometry
K3 surfaces
algebraic cycles
toric varieties
mirror pairs
Fano conjecture
ample line bundles
analytic spaces
automorphisms of varieties
complex algebraic geometry
minimal models
Hodge_theory
moduli_spaces
Chern_classes
quantum_cohomology
Hodge_decomposition
Kähler-Einstein_metrics
Mori_theory
Riemann-Roch_for_surfaces
hyperkähler_manifolds
moduli_of_curves
gptkbp:isUsedBy that certain manifolds can be embedded in projective space
gptkbp:isUsedIn algebraic geometry
gptkbp:isVisitedBy Kōsaku_Kodaira