Brill–Noether theory

GPTKB entity

Statements (23)
Predicate Object
gptkbp:instanceOf gptkb:logic
gptkbp:appliesTo smooth projective curves
gptkbp:concerns dimension of spaces of divisors
linear series on algebraic curves
gptkbp:field gptkb:algebraic_geometry
gptkbp:hasApplication gptkb:moduli_problems
enumerative geometry
geometry of special divisors
gptkbp:hasConcept gptkb:Brill–Noether_number
https://www.w3.org/2000/01/rdf-schema#label Brill–Noether theory
gptkbp:involves gptkb:Brill–Noether_loci
degeneracy loci
gptkbp:namedAfter gptkb:Alexander_von_Brill
gptkb:Max_Noether
gptkbp:originatedIn 19th century
gptkbp:relatedTo gptkb:Riemann–Roch_theorem
gptkb:Petri_theorem
gptkb:moduli_space_of_curves
gptkbp:studies special divisors on algebraic curves
existence of linear series of given degree and dimension
gptkbp:usedFor classification of algebraic curves
gptkbp:bfsParent gptkb:Alexander_von_Brill
gptkbp:bfsLayer 4