Statements (53)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Theorem
|
| gptkbp:appliesTo |
gptkb:Vector_Bundles
|
| gptkbp:developedBy |
gptkb:Jean-Pierre_Serre
|
| gptkbp:established |
Vanishing Theorems
|
| https://www.w3.org/2000/01/rdf-schema#label |
Serre's Theorem
|
| gptkbp:influences |
Topology
|
| gptkbp:isAssociatedWith |
Cohomological Dimension
|
| gptkbp:isAvenueFor |
Complex Geometry
Complex Algebraic Varieties Geometric Representation Theory Moduli_Spaces |
| gptkbp:isCitedBy |
Scholarly Articles
Mathematical_Reviews |
| gptkbp:isCitedIn |
Theses
Numerous Mathematical Papers |
| gptkbp:isConnectedTo |
Algebraic Structures
Homological Algebra |
| gptkbp:isDiscussedIn |
Conferences
Mathematical Seminars Academic_Journals |
| gptkbp:isExaminedBy |
Mathematical_Textbooks
|
| gptkbp:isExploredIn |
Online Courses
Research Papers |
| gptkbp:isInfluencedBy |
Mathematical Theories
Mathematical_Education Mathematical_Research |
| gptkbp:isPartOf |
Modern Algebraic Geometry
Theoretical Mathematics Theoretical Frameworks The Study of Algebraic Varieties |
| gptkbp:isRecognizedFor |
A Key Result in Mathematics
|
| gptkbp:isRelatedTo |
Differential Geometry
Riemann-Roch Theorem Homotopy Theory Cohomological Algebra Algebraic_Topology Research_in_Algebraic_Geometry Algebraic_Geometry_Research Grothendieck's_Work The_Study_of_Schemes |
| gptkbp:isStudiedIn |
Graduate Mathematics Courses
|
| gptkbp:isUsedBy |
Prove Other Theorems
|
| gptkbp:isUsedIn |
Arithmetic Geometry
Singularity Theory Sheaf_Theory Topology_Research |
| gptkbp:keyIssues |
Cohomological Methods
Understanding Algebraic Structures Understanding Cohomology Understanding Sheaves |
| gptkbp:provides |
Conditions for Cohomology
|
| gptkbp:relatedTo |
Cohomology
Algebraic_Geometry |