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A sheaf whose sections form rings and whose restrictions are ring homomorphisms.
stacks-sheaf-algebraicwp-sheaf-ringsstacks-schemes-textEach relation below ends at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Equip every section set with compatible ring structure.
Equip an existing carrier or structured object with additional chosen data, when such compatible data exists. Use a construction junction when several independently meaningful inputs must coexist on the same carrier or interact compatibly.
stacks-sheaf-algebraicwp-sheaf-ringsstacks-schemes-textEach relation below starts at this concept.
This is an authored directed relation from the source endpoint to the target endpoint.
Supply the Sheaf of rings structure as one jointly required input.
Feed several structures into a construction junction and impose compatibility between them.
stacks-ringed-spacenlab-ringed-spacewp-ringed-spacestacks-schemes-textThis is an authored directed relation from the source endpoint to the target endpoint.
At each chosen point, the stalk of a sheaf of rings is canonically a ring obtained from germs of local sections.
Apply a standard functorial or canonical construction whose output is not merely a reduct of the input and is not generally an equivalent presentation of the same object.
stacks-schemes-text