Statements (67)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:theorem
|
| gptkbp:appliesTo |
algebraic geometry
|
| gptkbp:description |
conditions for the existence of certain linear series
|
| gptkbp:hasInventor |
the theory of divisors
|
| https://www.w3.org/2000/01/rdf-schema#label |
Clifford's theorem
|
| gptkbp:isAccessibleBy |
projective varieties
|
| gptkbp:isActiveIn |
research articles
mathematical reviews |
| gptkbp:isAvenueFor |
theoretical physics
theoretical computer science complex analysis |
| gptkbp:isCitedBy |
mathematicians
|
| gptkbp:isCitedIn |
numerous mathematical papers
dissertations on algebraic geometry |
| gptkbp:isConnectedTo |
the study of algebraic topology
the study of algebraic curves and surfaces the study of canonical divisors the_theory_of_linear_systems |
| gptkbp:isConsidered |
the context of algebraic curves
|
| gptkbp:isDiscussedIn |
academic journals
mathematical seminars mathematical workshops conferences on algebraic geometry |
| gptkbp:isExaminedBy |
textbooks on algebraic geometry
theses on algebraic geometry |
| gptkbp:isExploredIn |
research projects
graduate studies in mathematics online mathematics courses |
| gptkbp:isImportantFor |
the classification of algebraic varieties
the study of complex manifolds |
| gptkbp:isInfluencedBy |
modern algebraic geometry
the development of modern algebraic theories the field of complex geometry |
| gptkbp:isLocatedIn |
terms of genus of a curve
|
| gptkbp:isPartOf |
the history of mathematics
the curriculum of advanced mathematics courses theoretical frameworks in mathematics the foundation of algebraic geometry the broader field of mathematics the evolution of algebraic geometry the study of linear systems on curves |
| gptkbp:isReferencedIn |
mathematical literature
academic textbooks mathematical dictionaries mathematical encyclopedias |
| gptkbp:isRelatedTo |
the study of algebraic varieties
Riemann surfaces the Riemann-Roch theorem the study of algebraic geometry the concept of effective divisors the concept of linear equivalence the concept of special divisors the study of algebraic functions the study of projective geometry the theory of algebraic curves |
| gptkbp:isUsedBy |
determine the dimension of certain spaces
|
| gptkbp:isUsedIn |
mathematical proofs
the analysis of algebraic curves the classification of linear series the_analysis_of_algebraic_structures |
| gptkbp:isUtilizedIn |
the study of moduli spaces
computational algebraic geometry |
| gptkbp:keyIssues |
the understanding of divisor theory
understanding linear series on curves understanding the geometry of curves |
| gptkbp:namedAfter |
gptkb:Wilhelm_Clifford
|
| gptkbp:provides |
a bound on the dimension of the space of global sections
|