Statements (64)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:theorem
|
| gptkbp:designedBy |
W.V.D._Hodge
|
| gptkbp:field |
algebraic geometry
|
| gptkbp:hasInventor |
number theory
|
| gptkbp:hasRelatedPatent |
topology
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hodge Conjecture
|
| gptkbp:isA |
open problem
|
| gptkbp:isActiveIn |
research articles
mathematical journals |
| gptkbp:isAssociatedWith |
Hodge_decomposition
|
| gptkbp:isCitedIn |
academic papers
scholarly articles mathematical literature |
| gptkbp:isConnectedTo |
complex geometry
|
| gptkbp:isConsidered |
mathematical research
a fundamental question a key problem a pivotal topic a significant conjecture |
| gptkbp:isDiscussedIn |
mathematical literature
mathematical forums mathematical communities academic seminars mathematical theorists |
| gptkbp:isExaminedBy |
academic research
mathematical proofs graduate courses |
| gptkbp:isExploredIn |
modern mathematics
scholarly research mathematical workshops doctoral research various approaches numerous methodologies |
| gptkbp:isInfluencedBy |
theoretical physics
mathematical theory |
| gptkbp:isLinkedTo |
differential geometry
algebraic topology complex manifolds Riemann surfaces |
| gptkbp:isPartOf |
mathematics
theoretical discussions mathematical theory mathematical discourse advanced mathematics curriculum Hodge_theory_framework |
| gptkbp:isReflectedIn |
mathematical conferences
mathematical textbooks mathematical discussions |
| gptkbp:isRelatedTo |
gptkb:Kähler_manifolds
Cohomology theory Poincaré duality complex algebraic varieties |
| gptkbp:isStudiedIn |
higher education
mathematicians theoretical mathematicians |
| gptkbp:issues |
relationship_between_algebraic_cycles_and_cohomology_classes
|
| gptkbp:isUtilizedFor |
mathematicians
understand research groups theoretical exploration to prove |
| gptkbp:isUtilizedIn |
numerous studies
|
| gptkbp:relatedTo |
Hodge_theory
|
| gptkbp:type |
geometric conjecture
|