structure sheaf

GPTKB entity

Statements (17)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:assignee ring of regular functions to each open set
gptkbp:category sheaf theory
gptkbp:centralTo modern algebraic geometry
gptkbp:describes functions on open sets of a scheme
gptkbp:field gptkb:algebraic_geometry
scheme theory
gptkbp:generalizes sheaf of regular functions on varieties
gptkbp:heldBy sheaf of rings
https://www.w3.org/2000/01/rdf-schema#label structure sheaf
gptkbp:introduced gptkb:Alexander_Grothendieck
gptkbp:notation gptkb:O_X
gptkbp:relatedTo gptkb:locally_ringed_space
gptkbp:usedFor defining morphisms of schemes
gptkbp:usedIn definition of scheme
gptkbp:bfsParent gptkb:Grothendieck's_schemes
gptkbp:bfsLayer 6