Theta Functions on Riemann Surfaces

URI: https://gptkb.org/entity/Theta_Functions_on_Riemann_Surfaces
GPTKB entity
Statements (33)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:application gptkb:Algebraic_curves
gptkb:Abelian_varieties
Moduli spaces
gptkbp:citation gptkb:David_Mumford,_Tata_Lectures_on_Theta
André Weil, Introduction à l'étude des variétés kählériennes
Riemann's original papers
gptkbp:defines gptkb:Jacobian_variety
Divisor
Line bundle
Period matrix
gptkbp:field gptkb:Mathematics
gptkbp:generalizes Classical theta function
gptkbp:hasSubfield gptkb:Algebraic_geometry
Complex analysis
https://www.w3.org/2000/01/rdf-schema#label Theta Functions on Riemann Surfaces
gptkbp:property Transformation law
Quasi-periodicity
Vanishing theorem
gptkbp:relatedTo gptkb:Riemannian_manifold
gptkb:Theta_function
gptkbp:studiedBy gptkb:André_Weil
gptkb:Bernhard_Riemann
gptkb:David_Mumford
19th century
gptkbp:usedIn gptkb:string_theory
gptkb:Modular_forms
gptkb:Schottky_problem
Mathematical physics
Algebraic curve classification
Proof of Riemann-Roch theorem
gptkbp:bfsParent gptkb:Hershel_Farkas
gptkbp:bfsLayer 7