Statements (81)
| Predicate | Object |
|---|---|
| gptkbp:instance_of |
gptkb:chess_match
|
| gptkbp:bfsLayer |
5
|
| gptkbp:bfsParent |
gptkb:Millennium_Prize_Problem
gptkb:William_H._L._Hodge |
| gptkbp:applies_to |
projective non-singular varieties
|
| gptkbp:field |
algebraic geometry
|
| gptkbp:has_impact_on |
gptkb:television_channel
|
| gptkbp:has_programs |
mathematical physics
|
| https://www.w3.org/2000/01/rdf-schema#label |
Hodge conjecture
|
| gptkbp:ingredients |
1950s
|
| gptkbp:is_a |
gptkb:physicist
gptkb:church gptkb:Mathematician gptkb:theorem gptkb:concept theoretical issue open problem problem in mathematics conjecture about cycles conjecture in algebraic geometry conjecture in algebraic topology generalization of the Riemann-Roch theorem hypothesis in algebraic geometry hypothesis in complex geometry hypothesis in mathematics mathematical conjecture in geometry open mathematical question problem in algebraic geometry problem in complex geometry theoretical concept in algebraic topology theoretical concept in geometry theoretical framework in algebraic geometry theoretical framework in mathematics theoretical issue in mathematics theoretical proposition theoretical proposition in algebraic geometry theoretical proposition in mathematics |
| gptkbp:is_analyzed_in |
mathematical proofs
|
| gptkbp:is_associated_with |
algebraic topology
|
| gptkbp:is_connected_to |
Kähler manifolds
complex manifolds geometric properties Cohomology groups Cohomology theory |
| gptkbp:is_considered |
complex geometry
complex algebraic geometry |
| gptkbp:is_discussed_in |
gptkb:academic_journal
conferences academic papers mathematical conferences mathematical literature mathematical textbooks mathematical seminars mathematical forums |
| gptkbp:is_explored_in |
gptkb:academic_research
research papers mathematical literature mathematical research mathematical theories mathematical discussions graduate studies theory of motives |
| gptkbp:is_influential_in |
modern mathematics
|
| gptkbp:is_part_of |
Hodge theory framework
|
| gptkbp:is_related_to |
gptkb:Riemann_surfaces
Hodge theory Algebraic topology topological properties mathematical structures Cohomology theory Riemann-Roch theorem Algebraic cycles Motive theory |
| gptkbp:is_studied_in |
gptkb:Mathematician
topological spaces theoretical mathematicians research mathematicians |
| gptkbp:issues |
relationship between algebraic cycles and cohomology classes
|
| gptkbp:named_after |
gptkb:W._V._D._Hodge
|
| gptkbp:opened |
gptkb:theorem
|
| gptkbp:proposed_by |
gptkb:W._V._D._Hodge
|