Scheme theory

object of algebraic geometry, commutative algebra and number theory; a ringed space locally isomorphic to the spectrum of a commutative ring

coarse topology defined on algebraic varieties and schemes

set of a ring's prime ideals

space together with a sheaf of rings

topological space with no infinite strictly ascending sequence of closed subsets

mathematical group

book

scheme constructed from a commutative graded ring, whose points correspond to homogeneous prime ideals that do not contain all of positive-degree elements

group object in the category of schemes

seminar run by Alexander Grothendieck

topological concept in algebraic geometry

construction in algebraic geometry

subsheaf (as a sheaf of modules) of the structure sheaf of a scheme (or ringed space)