Upper half-plane

GPTKB entity

Statements (20)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:borders real axis
gptkbp:complement lower half-plane
gptkbp:defines the set of complex numbers with positive imaginary part
gptkbp:dimensions 2
gptkbp:field gptkb:mathematics
complex analysis
https://www.w3.org/2000/01/rdf-schema#label Upper half-plane
gptkbp:notation {z ∈ ℂ : Im(z) > 0}
gptkbp:relatedTo gptkb:complex_plane
gptkb:hyperbolic_geometry
modular forms
gptkbp:symbol H
gptkbp:topology open subset of complex plane
gptkbp:usedIn gptkb:Riemann_mapping_theorem
automorphic forms
modular group action
gptkbp:bfsParent gptkb:Dedekind_eta_function
gptkb:Modular_form
gptkbp:bfsLayer 5